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Finding the Fourth Proportional to 127,561.70, 191,123.85 and 83,165.60

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Solution

The fourth proportional to 127,561.70, 191,123.85 and 83,165.60 is: 124,605.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,561.70 : 191,123.85 = 83,165.60 : x
  2. Step 2: Convert to fraction form
    127,561.70/191,123.85 = 83,165.60/x
  3. Step 3: Cross multiply
    127,561.70x = 191,123.85 × 83,165.60
  4. Step 4: Simplify right side
    127,561.70x = 15,894,929,659.56
  5. Step 5: Solve for x
    x = 15,894,929,659.56/127,561.70
  6. Step 6: Final answer
    x = 124,605.82

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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.