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Finding the Fourth Proportional to 127,956.30, 191,934.45 and 61,385.10

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Solution

The fourth proportional to 127,956.30, 191,934.45 and 61,385.10 is: 92,077.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,956.30 : 191,934.45 = 61,385.10 : x
  2. Step 2: Convert to fraction form
    127,956.30/191,934.45 = 61,385.10/x
  3. Step 3: Cross multiply
    127,956.30x = 191,934.45 × 61,385.10
  4. Step 4: Simplify right side
    127,956.30x = 11,781,915,406.70
  5. Step 5: Solve for x
    x = 11,781,915,406.70/127,956.30
  6. Step 6: Final answer
    x = 92,077.65

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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.