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Finding the Fourth Proportional to 232,074, 348,144.22 and 88,032.78

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Solution

The fourth proportional to 232,074, 348,144.22 and 88,032.78 is: 132,061.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,074 : 348,144.22 = 88,032.78 : x
  2. Step 2: Convert to fraction form
    232,074/348,144.22 = 88,032.78/x
  3. Step 3: Cross multiply
    232,074x = 348,144.22 × 88,032.78
  4. Step 4: Simplify right side
    232,074x = 30,648,103,527.53
  5. Step 5: Solve for x
    x = 30,648,103,527.53/232,074
  6. Step 6: Final answer
    x = 132,061.77

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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.