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Finding the Fourth Proportional to 232,996, 349,405.20 and 83,208.32

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Solution

The fourth proportional to 232,996, 349,405.20 and 83,208.32 is: 124,780.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,996 : 349,405.20 = 83,208.32 : x
  2. Step 2: Convert to fraction form
    232,996/349,405.20 = 83,208.32/x
  3. Step 3: Cross multiply
    232,996x = 349,405.20 × 83,208.32
  4. Step 4: Simplify right side
    232,996x = 29,073,419,691.26
  5. Step 5: Solve for x
    x = 29,073,419,691.26/232,996
  6. Step 6: Final answer
    x = 124,780.77

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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.