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Finding the Fourth Proportional to 232,500, 348,753.24 and 66,288

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Solution

The fourth proportional to 232,500, 348,753.24 and 66,288 is: 99,432.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,500 : 348,753.24 = 66,288 : x
  2. Step 2: Convert to fraction form
    232,500/348,753.24 = 66,288/x
  3. Step 3: Cross multiply
    232,500x = 348,753.24 × 66,288
  4. Step 4: Simplify right side
    232,500x = 23,118,154,773.12
  5. Step 5: Solve for x
    x = 23,118,154,773.12/232,500
  6. Step 6: Final answer
    x = 99,432.92

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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.