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Finding the Fourth Proportional to 232,972.80, 349,459.20 and 159,244.80

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Solution

The fourth proportional to 232,972.80, 349,459.20 and 159,244.80 is: 238,867.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,972.80 : 349,459.20 = 159,244.80 : x
  2. Step 2: Convert to fraction form
    232,972.80/349,459.20 = 159,244.80/x
  3. Step 3: Cross multiply
    232,972.80x = 349,459.20 × 159,244.80
  4. Step 4: Simplify right side
    232,972.80x = 55,649,560,412.16
  5. Step 5: Solve for x
    x = 55,649,560,412.16/232,972.80
  6. Step 6: Final answer
    x = 238,867.20

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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.