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Finding the Fourth Proportional to 102,384.38, 141,301.92 and 57,066.50

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Solution

The fourth proportional to 102,384.38, 141,301.92 and 57,066.50 is: 78,758.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,384.38 : 141,301.92 = 57,066.50 : x
  2. Step 2: Convert to fraction form
    102,384.38/141,301.92 = 57,066.50/x
  3. Step 3: Cross multiply
    102,384.38x = 141,301.92 × 57,066.50
  4. Step 4: Simplify right side
    102,384.38x = 8,063,606,017.68
  5. Step 5: Solve for x
    x = 8,063,606,017.68/102,384.38
  6. Step 6: Final answer
    x = 78,758.17

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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.