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Finding the Fourth Proportional to 126,452.16, 174,449.16 and 76,122

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Solution

The fourth proportional to 126,452.16, 174,449.16 and 76,122 is: 105,015.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,452.16 : 174,449.16 = 76,122 : x
  2. Step 2: Convert to fraction form
    126,452.16/174,449.16 = 76,122/x
  3. Step 3: Cross multiply
    126,452.16x = 174,449.16 × 76,122
  4. Step 4: Simplify right side
    126,452.16x = 13,279,418,957.52
  5. Step 5: Solve for x
    x = 13,279,418,957.52/126,452.16
  6. Step 6: Final answer
    x = 105,015.36

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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.