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Finding the Fourth Proportional to 102,486.38, 141,431.38 and 57,167.28

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Solution

The fourth proportional to 102,486.38, 141,431.38 and 57,167.28 is: 78,890.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,486.38 : 141,431.38 = 57,167.28 : x
  2. Step 2: Convert to fraction form
    102,486.38/141,431.38 = 57,167.28/x
  3. Step 3: Cross multiply
    102,486.38x = 141,431.38 × 57,167.28
  4. Step 4: Simplify right side
    102,486.38x = 8,085,247,301.25
  5. Step 5: Solve for x
    x = 8,085,247,301.25/102,486.38
  6. Step 6: Final answer
    x = 78,890.94

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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.