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Finding the Fourth Proportional to 232,753.50, 349,150.50 and 64,274.04

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Solution

The fourth proportional to 232,753.50, 349,150.50 and 64,274.04 is: 96,416.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,753.50 : 349,150.50 = 64,274.04 : x
  2. Step 2: Convert to fraction form
    232,753.50/349,150.50 = 64,274.04/x
  3. Step 3: Cross multiply
    232,753.50x = 349,150.50 × 64,274.04
  4. Step 4: Simplify right side
    232,753.50x = 22,441,313,203.02
  5. Step 5: Solve for x
    x = 22,441,313,203.02/232,753.50
  6. Step 6: Final answer
    x = 96,416.65

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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.