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Finding the Fourth Proportional to 96,105.20, 132,601.29 and 83,337.98

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Solution

The fourth proportional to 96,105.20, 132,601.29 and 83,337.98 is: 114,985.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,105.20 : 132,601.29 = 83,337.98 : x
  2. Step 2: Convert to fraction form
    96,105.20/132,601.29 = 83,337.98/x
  3. Step 3: Cross multiply
    96,105.20x = 132,601.29 × 83,337.98
  4. Step 4: Simplify right side
    96,105.20x = 11,050,723,530.84
  5. Step 5: Solve for x
    x = 11,050,723,530.84/96,105.20
  6. Step 6: Final answer
    x = 114,985.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.