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Finding the Fourth Proportional to 83,663.98, 125,362.18 and 75,166.46

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Solution

The fourth proportional to 83,663.98, 125,362.18 and 75,166.46 is: 112,629.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,663.98 : 125,362.18 = 75,166.46 : x
  2. Step 2: Convert to fraction form
    83,663.98/125,362.18 = 75,166.46/x
  3. Step 3: Cross multiply
    83,663.98x = 125,362.18 × 75,166.46
  4. Step 4: Simplify right side
    83,663.98x = 9,423,031,288.48
  5. Step 5: Solve for x
    x = 9,423,031,288.48/83,663.98
  6. Step 6: Final answer
    x = 112,629.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.