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Finding the Fourth Proportional to 138,524.10, 207,797.94 and 43,728.93

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Solution

The fourth proportional to 138,524.10, 207,797.94 and 43,728.93 is: 65,597.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,524.10 : 207,797.94 = 43,728.93 : x
  2. Step 2: Convert to fraction form
    138,524.10/207,797.94 = 43,728.93/x
  3. Step 3: Cross multiply
    138,524.10x = 207,797.94 × 43,728.93
  4. Step 4: Simplify right side
    138,524.10x = 9,086,781,572.40
  5. Step 5: Solve for x
    x = 9,086,781,572.40/138,524.10
  6. Step 6: Final answer
    x = 65,597.12

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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.