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Finding the Fourth Proportional to 102,665.38, 141,668.22 and 57,339.76

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Solution

The fourth proportional to 102,665.38, 141,668.22 and 57,339.76 is: 79,123.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,665.38 : 141,668.22 = 57,339.76 : x
  2. Step 2: Convert to fraction form
    102,665.38/141,668.22 = 57,339.76/x
  3. Step 3: Cross multiply
    102,665.38x = 141,668.22 × 57,339.76
  4. Step 4: Simplify right side
    102,665.38x = 8,123,221,734.43
  5. Step 5: Solve for x
    x = 8,123,221,734.43/102,665.38
  6. Step 6: Final answer
    x = 79,123.28

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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.