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Finding the Fourth Proportional to 102,456, 141,402.24 and 57,744

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Solution

The fourth proportional to 102,456, 141,402.24 and 57,744 is: 79,694.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,456 : 141,402.24 = 57,744 : x
  2. Step 2: Convert to fraction form
    102,456/141,402.24 = 57,744/x
  3. Step 3: Cross multiply
    102,456x = 141,402.24 × 57,744
  4. Step 4: Simplify right side
    102,456x = 8,165,130,946.56
  5. Step 5: Solve for x
    x = 8,165,130,946.56/102,456
  6. Step 6: Final answer
    x = 79,694.02

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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.