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Finding the Fourth Proportional to 357,691.95, 536,454.66 and 133,158.15

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Solution

The fourth proportional to 357,691.95, 536,454.66 and 133,158.15 is: 199,706.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,691.95 : 536,454.66 = 133,158.15 : x
  2. Step 2: Convert to fraction form
    357,691.95/536,454.66 = 133,158.15/x
  3. Step 3: Cross multiply
    357,691.95x = 536,454.66 × 133,158.15
  4. Step 4: Simplify right side
    357,691.95x = 71,433,310,084.48
  5. Step 5: Solve for x
    x = 71,433,310,084.48/357,691.95
  6. Step 6: Final answer
    x = 199,706.23

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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.