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Finding the Fourth Proportional to 232,996.32, 348,933.92 and 132,852.92

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Solution

The fourth proportional to 232,996.32, 348,933.92 and 132,852.92 is: 198,959.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,996.32 : 348,933.92 = 132,852.92 : x
  2. Step 2: Convert to fraction form
    232,996.32/348,933.92 = 132,852.92/x
  3. Step 3: Cross multiply
    232,996.32x = 348,933.92 × 132,852.92
  4. Step 4: Simplify right side
    232,996.32x = 46,356,887,750.11
  5. Step 5: Solve for x
    x = 46,356,887,750.11/232,996.32
  6. Step 6: Final answer
    x = 198,959.74

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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.