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Finding the Fourth Proportional to 232,076.76, 348,120 and 74,304.75

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Solution

The fourth proportional to 232,076.76, 348,120 and 74,304.75 is: 111,458.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,076.76 : 348,120 = 74,304.75 : x
  2. Step 2: Convert to fraction form
    232,076.76/348,120 = 74,304.75/x
  3. Step 3: Cross multiply
    232,076.76x = 348,120 × 74,304.75
  4. Step 4: Simplify right side
    232,076.76x = 25,866,969,570
  5. Step 5: Solve for x
    x = 25,866,969,570/232,076.76
  6. Step 6: Final answer
    x = 111,458.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.