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Finding the Fourth Proportional to 102,523.38, 141,540.40 and 66,695.46

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Solution

The fourth proportional to 102,523.38, 141,540.40 and 66,695.46 is: 92,077.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,523.38 : 141,540.40 = 66,695.46 : x
  2. Step 2: Convert to fraction form
    102,523.38/141,540.40 = 66,695.46/x
  3. Step 3: Cross multiply
    102,523.38x = 141,540.40 × 66,695.46
  4. Step 4: Simplify right side
    102,523.38x = 9,440,102,086.58
  5. Step 5: Solve for x
    x = 9,440,102,086.58/102,523.38
  6. Step 6: Final answer
    x = 92,077.55

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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.