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Finding the Fourth Proportional to 256,098.70, 384,148.05 and 138,000.70

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Solution

The fourth proportional to 256,098.70, 384,148.05 and 138,000.70 is: 207,001.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,098.70 : 384,148.05 = 138,000.70 : x
  2. Step 2: Convert to fraction form
    256,098.70/384,148.05 = 138,000.70/x
  3. Step 3: Cross multiply
    256,098.70x = 384,148.05 × 138,000.70
  4. Step 4: Simplify right side
    256,098.70x = 53,012,699,803.64
  5. Step 5: Solve for x
    x = 53,012,699,803.64/256,098.70
  6. Step 6: Final answer
    x = 207,001.05

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1.5x scale

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.