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Finding the Fourth Proportional to 92,102.79, 138,006.65 and 83,245.44

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Solution

The fourth proportional to 92,102.79, 138,006.65 and 83,245.44 is: 124,734.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,102.79 : 138,006.65 = 83,245.44 : x
  2. Step 2: Convert to fraction form
    92,102.79/138,006.65 = 83,245.44/x
  3. Step 3: Cross multiply
    92,102.79x = 138,006.65 × 83,245.44
  4. Step 4: Simplify right side
    92,102.79x = 11,488,423,885.95
  5. Step 5: Solve for x
    x = 11,488,423,885.95/92,102.79
  6. Step 6: Final answer
    x = 124,734.81

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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.