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Finding the Fourth Proportional to 316,197.92, 474,297.68 and 129,209.44

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Solution

The fourth proportional to 316,197.92, 474,297.68 and 129,209.44 is: 193,814.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,197.92 : 474,297.68 = 129,209.44 : x
  2. Step 2: Convert to fraction form
    316,197.92/474,297.68 = 129,209.44/x
  3. Step 3: Cross multiply
    316,197.92x = 474,297.68 × 129,209.44
  4. Step 4: Simplify right side
    316,197.92x = 61,283,737,626.10
  5. Step 5: Solve for x
    x = 61,283,737,626.10/316,197.92
  6. Step 6: Final answer
    x = 193,814.49

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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.