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Finding the Fourth Proportional to 282,720.92, 424,080.30 and 72,358.52

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Solution

The fourth proportional to 282,720.92, 424,080.30 and 72,358.52 is: 108,537.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,720.92 : 424,080.30 = 72,358.52 : x
  2. Step 2: Convert to fraction form
    282,720.92/424,080.30 = 72,358.52/x
  3. Step 3: Cross multiply
    282,720.92x = 424,080.30 × 72,358.52
  4. Step 4: Simplify right side
    282,720.92x = 30,685,822,869.16
  5. Step 5: Solve for x
    x = 30,685,822,869.16/282,720.92
  6. Step 6: Final answer
    x = 108,537.50

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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.