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Finding the Fourth Proportional to 192,654.92, 289,013.24 and 59,503.88

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Solution

The fourth proportional to 192,654.92, 289,013.24 and 59,503.88 is: 89,265.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,654.92 : 289,013.24 = 59,503.88 : x
  2. Step 2: Convert to fraction form
    192,654.92/289,013.24 = 59,503.88/x
  3. Step 3: Cross multiply
    192,654.92x = 289,013.24 × 59,503.88
  4. Step 4: Simplify right side
    192,654.92x = 17,197,409,151.37
  5. Step 5: Solve for x
    x = 17,197,409,151.37/192,654.92
  6. Step 6: Final answer
    x = 89,265.35

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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.