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Finding the Fourth Proportional to 158,221.55, 218,344.94 and 85,624.38

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Solution

The fourth proportional to 158,221.55, 218,344.94 and 85,624.38 is: 118,161.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,221.55 : 218,344.94 = 85,624.38 : x
  2. Step 2: Convert to fraction form
    158,221.55/218,344.94 = 85,624.38/x
  3. Step 3: Cross multiply
    158,221.55x = 218,344.94 × 85,624.38
  4. Step 4: Simplify right side
    158,221.55x = 18,695,649,685.52
  5. Step 5: Solve for x
    x = 18,695,649,685.52/158,221.55
  6. Step 6: Final answer
    x = 118,161.21

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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.