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Finding the Fourth Proportional to 232,057.80, 348,086.70 and 74,302.20

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Solution

The fourth proportional to 232,057.80, 348,086.70 and 74,302.20 is: 111,453.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,057.80 : 348,086.70 = 74,302.20 : x
  2. Step 2: Convert to fraction form
    232,057.80/348,086.70 = 74,302.20/x
  3. Step 3: Cross multiply
    232,057.80x = 348,086.70 × 74,302.20
  4. Step 4: Simplify right side
    232,057.80x = 25,863,607,600.74
  5. Step 5: Solve for x
    x = 25,863,607,600.74/232,057.80
  6. Step 6: Final answer
    x = 111,453.30

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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.