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Finding the Fourth Proportional to 232,065.20, 348,122.10 and 98,959.52

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Solution

The fourth proportional to 232,065.20, 348,122.10 and 98,959.52 is: 148,449.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,065.20 : 348,122.10 = 98,959.52 : x
  2. Step 2: Convert to fraction form
    232,065.20/348,122.10 = 98,959.52/x
  3. Step 3: Cross multiply
    232,065.20x = 348,122.10 × 98,959.52
  4. Step 4: Simplify right side
    232,065.20x = 34,449,995,917.39
  5. Step 5: Solve for x
    x = 34,449,995,917.39/232,065.20
  6. Step 6: Final answer
    x = 148,449.64

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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.