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Finding the Fourth Proportional to 82,203.93, 123,318.21 and 71,597.66

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Solution

The fourth proportional to 82,203.93, 123,318.21 and 71,597.66 is: 107,407.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,203.93 : 123,318.21 = 71,597.66 : x
  2. Step 2: Convert to fraction form
    82,203.93/123,318.21 = 71,597.66/x
  3. Step 3: Cross multiply
    82,203.93x = 123,318.21 × 71,597.66
  4. Step 4: Simplify right side
    82,203.93x = 8,829,294,923.29
  5. Step 5: Solve for x
    x = 8,829,294,923.29/82,203.93
  6. Step 6: Final answer
    x = 107,407.21

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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.