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Finding the Fourth Proportional to 280,304.10, 420,456.15 and 102,752.10

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Solution

The fourth proportional to 280,304.10, 420,456.15 and 102,752.10 is: 154,128.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,304.10 : 420,456.15 = 102,752.10 : x
  2. Step 2: Convert to fraction form
    280,304.10/420,456.15 = 102,752.10/x
  3. Step 3: Cross multiply
    280,304.10x = 420,456.15 × 102,752.10
  4. Step 4: Simplify right side
    280,304.10x = 43,202,752,370.42
  5. Step 5: Solve for x
    x = 43,202,752,370.42/280,304.10
  6. Step 6: Final answer
    x = 154,128.15

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