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Finding the Fourth Proportional to 102,453.84, 141,388.80 and 57,131.38

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Solution

The fourth proportional to 102,453.84, 141,388.80 and 57,131.38 is: 78,842.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,453.84 : 141,388.80 = 57,131.38 : x
  2. Step 2: Convert to fraction form
    102,453.84/141,388.80 = 57,131.38/x
  3. Step 3: Cross multiply
    102,453.84x = 141,388.80 × 57,131.38
  4. Step 4: Simplify right side
    102,453.84x = 8,077,737,260.54
  5. Step 5: Solve for x
    x = 8,077,737,260.54/102,453.84
  6. Step 6: Final answer
    x = 78,842.70

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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.