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Finding the Fourth Proportional to 115,411.57, 159,275.97 and 64,434.32

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Solution

The fourth proportional to 115,411.57, 159,275.97 and 64,434.32 is: 88,923.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,411.57 : 159,275.97 = 64,434.32 : x
  2. Step 2: Convert to fraction form
    115,411.57/159,275.97 = 64,434.32/x
  3. Step 3: Cross multiply
    115,411.57x = 159,275.97 × 64,434.32
  4. Step 4: Simplify right side
    115,411.57x = 10,262,838,620.20
  5. Step 5: Solve for x
    x = 10,262,838,620.20/115,411.57
  6. Step 6: Final answer
    x = 88,923.83

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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.