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Finding the Fourth Proportional to 282,461, 423,691.14 and 72,098.96

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Solution

The fourth proportional to 282,461, 423,691.14 and 72,098.96 is: 108,148.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,461 : 423,691.14 = 72,098.96 : x
  2. Step 2: Convert to fraction form
    282,461/423,691.14 = 72,098.96/x
  3. Step 3: Cross multiply
    282,461x = 423,691.14 × 72,098.96
  4. Step 4: Simplify right side
    282,461x = 30,547,690,555.21
  5. Step 5: Solve for x
    x = 30,547,690,555.21/282,461
  6. Step 6: Final answer
    x = 108,148.35

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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.