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Finding the Fourth Proportional to 144,891.78, 217,319.19 and 56,084.52

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Solution

The fourth proportional to 144,891.78, 217,319.19 and 56,084.52 is: 84,119.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,891.78 : 217,319.19 = 56,084.52 : x
  2. Step 2: Convert to fraction form
    144,891.78/217,319.19 = 56,084.52/x
  3. Step 3: Cross multiply
    144,891.78x = 217,319.19 × 56,084.52
  4. Step 4: Simplify right side
    144,891.78x = 12,188,242,457.94
  5. Step 5: Solve for x
    x = 12,188,242,457.94/144,891.78
  6. Step 6: Final answer
    x = 84,119.63

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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.