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Finding the Fourth Proportional to 232,732.80, 349,099.20 and 114,634.80

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Solution

The fourth proportional to 232,732.80, 349,099.20 and 114,634.80 is: 171,952.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,732.80 : 349,099.20 = 114,634.80 : x
  2. Step 2: Convert to fraction form
    232,732.80/349,099.20 = 114,634.80/x
  3. Step 3: Cross multiply
    232,732.80x = 349,099.20 × 114,634.80
  4. Step 4: Simplify right side
    232,732.80x = 40,018,916,972.16
  5. Step 5: Solve for x
    x = 40,018,916,972.16/232,732.80
  6. Step 6: Final answer
    x = 171,952.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.