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Finding the Fourth Proportional to 165,471.53, 247,989.24 and 65,577.26

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Solution

The fourth proportional to 165,471.53, 247,989.24 and 65,577.26 is: 98,279.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,471.53 : 247,989.24 = 65,577.26 : x
  2. Step 2: Convert to fraction form
    165,471.53/247,989.24 = 65,577.26/x
  3. Step 3: Cross multiply
    165,471.53x = 247,989.24 × 65,577.26
  4. Step 4: Simplify right side
    165,471.53x = 16,262,454,868.68
  5. Step 5: Solve for x
    x = 16,262,454,868.68/165,471.53
  6. Step 6: Final answer
    x = 98,279.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.