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Finding the Fourth Proportional to 92,135.59, 138,195.42 and 56,102.74

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Solution

The fourth proportional to 92,135.59, 138,195.42 and 56,102.74 is: 84,149.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,135.59 : 138,195.42 = 56,102.74 : x
  2. Step 2: Convert to fraction form
    92,135.59/138,195.42 = 56,102.74/x
  3. Step 3: Cross multiply
    92,135.59x = 138,195.42 × 56,102.74
  4. Step 4: Simplify right side
    92,135.59x = 7,753,141,717.45
  5. Step 5: Solve for x
    x = 7,753,141,717.45/92,135.59
  6. Step 6: Final answer
    x = 84,149.26

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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.