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Finding the Fourth Proportional to 488,149.29, 732,202.07 and 133,162.17

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Solution

The fourth proportional to 488,149.29, 732,202.07 and 133,162.17 is: 199,737.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,149.29 : 732,202.07 = 133,162.17 : x
  2. Step 2: Convert to fraction form
    488,149.29/732,202.07 = 133,162.17/x
  3. Step 3: Cross multiply
    488,149.29x = 732,202.07 × 133,162.17
  4. Step 4: Simplify right side
    488,149.29x = 97,501,615,853.88
  5. Step 5: Solve for x
    x = 97,501,615,853.88/488,149.29
  6. Step 6: Final answer
    x = 199,737.29

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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.