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Finding the Fourth Proportional to 133,115.16, 183,706.38 and 72,691.43

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Solution

The fourth proportional to 133,115.16, 183,706.38 and 72,691.43 is: 100,318.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,115.16 : 183,706.38 = 72,691.43 : x
  2. Step 2: Convert to fraction form
    133,115.16/183,706.38 = 72,691.43/x
  3. Step 3: Cross multiply
    133,115.16x = 183,706.38 × 72,691.43
  4. Step 4: Simplify right side
    133,115.16x = 13,353,878,543.79
  5. Step 5: Solve for x
    x = 13,353,878,543.79/133,115.16
  6. Step 6: Final answer
    x = 100,318.24

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Why These Related Problems?

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