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Finding the Fourth Proportional to 102,418.14, 141,337.62 and 57,099

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Solution

The fourth proportional to 102,418.14, 141,337.62 and 57,099 is: 78,796.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,418.14 : 141,337.62 = 57,099 : x
  2. Step 2: Convert to fraction form
    102,418.14/141,337.62 = 57,099/x
  3. Step 3: Cross multiply
    102,418.14x = 141,337.62 × 57,099
  4. Step 4: Simplify right side
    102,418.14x = 8,070,236,764.38
  5. Step 5: Solve for x
    x = 8,070,236,764.38/102,418.14
  6. Step 6: Final answer
    x = 78,796.95

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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.