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Finding the Fourth Proportional to 256,000,132.50, 384,048,635.70 and 81,167,201.70

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Solution

The fourth proportional to 256,000,132.50, 384,048,635.70 and 81,167,201.70 is: 121,766,159.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,000,132.50 : 384,048,635.70 = 81,167,201.70 : x
  2. Step 2: Convert to fraction form
    256,000,132.50/384,048,635.70 = 81,167,201.70/x
  3. Step 3: Cross multiply
    256,000,132.50x = 384,048,635.70 × 81,167,201.70
  4. Step 4: Simplify right side
    256,000,132.50x = 31,172,153,076,471,720
  5. Step 5: Solve for x
    x = 31,172,153,076,471,720/256,000,132.50
  6. Step 6: Final answer
    x = 121,766,159.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.