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Finding the Fourth Proportional to 115,406, 159,260.32 and 62,414

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Solution

The fourth proportional to 115,406, 159,260.32 and 62,414 is: 86,131.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,406 : 159,260.32 = 62,414 : x
  2. Step 2: Convert to fraction form
    115,406/159,260.32 = 62,414/x
  3. Step 3: Cross multiply
    115,406x = 159,260.32 × 62,414
  4. Step 4: Simplify right side
    115,406x = 9,940,073,612.48
  5. Step 5: Solve for x
    x = 9,940,073,612.48/115,406
  6. Step 6: Final answer
    x = 86,131.34

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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.