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Finding the Fourth Proportional to 116,254.26, 160,419.80 and 65,255.31

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Solution

The fourth proportional to 116,254.26, 160,419.80 and 65,255.31 is: 90,046.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,254.26 : 160,419.80 = 65,255.31 : x
  2. Step 2: Convert to fraction form
    116,254.26/160,419.80 = 65,255.31/x
  3. Step 3: Cross multiply
    116,254.26x = 160,419.80 × 65,255.31
  4. Step 4: Simplify right side
    116,254.26x = 10,468,243,452.86
  5. Step 5: Solve for x
    x = 10,468,243,452.86/116,254.26
  6. Step 6: Final answer
    x = 90,046.11

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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.