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Finding the Fourth Proportional to 126,253.44, 174,152.16 and 75,231

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Solution

The fourth proportional to 126,253.44, 174,152.16 and 75,231 is: 103,772.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,253.44 : 174,152.16 = 75,231 : x
  2. Step 2: Convert to fraction form
    126,253.44/174,152.16 = 75,231/x
  3. Step 3: Cross multiply
    126,253.44x = 174,152.16 × 75,231
  4. Step 4: Simplify right side
    126,253.44x = 13,101,641,148.96
  5. Step 5: Solve for x
    x = 13,101,641,148.96/126,253.44
  6. Step 6: Final answer
    x = 103,772.55

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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.