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Finding the Fourth Proportional to 92,542.86, 138,869.58 and 85,014.11

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Solution

The fourth proportional to 92,542.86, 138,869.58 and 85,014.11 is: 127,571.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,542.86 : 138,869.58 = 85,014.11 : x
  2. Step 2: Convert to fraction form
    92,542.86/138,869.58 = 85,014.11/x
  3. Step 3: Cross multiply
    92,542.86x = 138,869.58 × 85,014.11
  4. Step 4: Simplify right side
    92,542.86x = 11,805,873,055.43
  5. Step 5: Solve for x
    x = 11,805,873,055.43/92,542.86
  6. Step 6: Final answer
    x = 127,571.96

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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.