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Finding the Fourth Proportional to 116,393.12, 160,610.53 and 65,397.74

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Solution

The fourth proportional to 116,393.12, 160,610.53 and 65,397.74 is: 90,242.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,393.12 : 160,610.53 = 65,397.74 : x
  2. Step 2: Convert to fraction form
    116,393.12/160,610.53 = 65,397.74/x
  3. Step 3: Cross multiply
    116,393.12x = 160,610.53 × 65,397.74
  4. Step 4: Simplify right side
    116,393.12x = 10,503,565,355.21
  5. Step 5: Solve for x
    x = 10,503,565,355.21/116,393.12
  6. Step 6: Final answer
    x = 90,242.15

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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.