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Finding the Fourth Proportional to 119,149.80, 164,421.18 and 71,429.64

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Solution

The fourth proportional to 119,149.80, 164,421.18 and 71,429.64 is: 98,569.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,149.80 : 164,421.18 = 71,429.64 : x
  2. Step 2: Convert to fraction form
    119,149.80/164,421.18 = 71,429.64/x
  3. Step 3: Cross multiply
    119,149.80x = 164,421.18 × 71,429.64
  4. Step 4: Simplify right side
    119,149.80x = 11,744,545,695.78
  5. Step 5: Solve for x
    x = 11,744,545,695.78/119,149.80
  6. Step 6: Final answer
    x = 98,569.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.