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Finding the Fourth Proportional to 317,458.89, 476,159.17 and 107,098.65

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Solution

The fourth proportional to 317,458.89, 476,159.17 and 107,098.65 is: 160,638.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,458.89 : 476,159.17 = 107,098.65 : x
  2. Step 2: Convert to fraction form
    317,458.89/476,159.17 = 107,098.65/x
  3. Step 3: Cross multiply
    317,458.89x = 476,159.17 × 107,098.65
  4. Step 4: Simplify right side
    317,458.89x = 50,996,001,643.58
  5. Step 5: Solve for x
    x = 50,996,001,643.58/317,458.89
  6. Step 6: Final answer
    x = 160,638.13

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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.