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Finding the Fourth Proportional to 115,714.71, 159,678 and 64,724.76

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Solution

The fourth proportional to 115,714.71, 159,678 and 64,724.76 is: 89,315.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,714.71 : 159,678 = 64,724.76 : x
  2. Step 2: Convert to fraction form
    115,714.71/159,678 = 64,724.76/x
  3. Step 3: Cross multiply
    115,714.71x = 159,678 × 64,724.76
  4. Step 4: Simplify right side
    115,714.71x = 10,335,120,227.28
  5. Step 5: Solve for x
    x = 10,335,120,227.28/115,714.71
  6. Step 6: Final answer
    x = 89,315.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.