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Finding the Fourth Proportional to 126,349.25, 174,154.32 and 89,568

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Solution

The fourth proportional to 126,349.25, 174,154.32 and 89,568 is: 123,456.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,349.25 : 174,154.32 = 89,568 : x
  2. Step 2: Convert to fraction form
    126,349.25/174,154.32 = 89,568/x
  3. Step 3: Cross multiply
    126,349.25x = 174,154.32 × 89,568
  4. Step 4: Simplify right side
    126,349.25x = 15,598,654,133.76
  5. Step 5: Solve for x
    x = 15,598,654,133.76/126,349.25
  6. Step 6: Final answer
    x = 123,456.64

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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.