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Finding the Fourth Proportional to 138,955.23, 191,761.77 and 85,269.90

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Solution

The fourth proportional to 138,955.23, 191,761.77 and 85,269.90 is: 117,674.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,955.23 : 191,761.77 = 85,269.90 : x
  2. Step 2: Convert to fraction form
    138,955.23/191,761.77 = 85,269.90/x
  3. Step 3: Cross multiply
    138,955.23x = 191,761.77 × 85,269.90
  4. Step 4: Simplify right side
    138,955.23x = 16,351,506,951.72
  5. Step 5: Solve for x
    x = 16,351,506,951.72/138,955.23
  6. Step 6: Final answer
    x = 117,674.64

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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.