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Finding the Fourth Proportional to 102,682.40, 153,987.15 and 71,092.40

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Solution

The fourth proportional to 102,682.40, 153,987.15 and 71,092.40 is: 106,613.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,682.40 : 153,987.15 = 71,092.40 : x
  2. Step 2: Convert to fraction form
    102,682.40/153,987.15 = 71,092.40/x
  3. Step 3: Cross multiply
    102,682.40x = 153,987.15 × 71,092.40
  4. Step 4: Simplify right side
    102,682.40x = 10,947,316,062.66
  5. Step 5: Solve for x
    x = 10,947,316,062.66/102,682.40
  6. Step 6: Final answer
    x = 106,613.36

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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.