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Finding the Fourth Proportional to 127,663.68, 191,527.92 and 48,769.68

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Solution

The fourth proportional to 127,663.68, 191,527.92 and 48,769.68 is: 73,166.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,663.68 : 191,527.92 = 48,769.68 : x
  2. Step 2: Convert to fraction form
    127,663.68/191,527.92 = 48,769.68/x
  3. Step 3: Cross multiply
    127,663.68x = 191,527.92 × 48,769.68
  4. Step 4: Simplify right side
    127,663.68x = 9,340,755,369.47
  5. Step 5: Solve for x
    x = 9,340,755,369.47/127,663.68
  6. Step 6: Final answer
    x = 73,166.90

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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.