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Finding the Fourth Proportional to 92,102.29, 138,005.89 and 83,244.94

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Solution

The fourth proportional to 92,102.29, 138,005.89 and 83,244.94 is: 124,734.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,102.29 : 138,005.89 = 83,244.94 : x
  2. Step 2: Convert to fraction form
    92,102.29/138,005.89 = 83,244.94/x
  3. Step 3: Cross multiply
    92,102.29x = 138,005.89 × 83,244.94
  4. Step 4: Simplify right side
    92,102.29x = 11,488,292,032.70
  5. Step 5: Solve for x
    x = 11,488,292,032.70/92,102.29
  6. Step 6: Final answer
    x = 124,734.05

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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.