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Finding the Fourth Proportional to 232,062.40, 347,632.80 and 126,692.80

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Solution

The fourth proportional to 232,062.40, 347,632.80 and 126,692.80 is: 189,787.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,062.40 : 347,632.80 = 126,692.80 : x
  2. Step 2: Convert to fraction form
    232,062.40/347,632.80 = 126,692.80/x
  3. Step 3: Cross multiply
    232,062.40x = 347,632.80 × 126,692.80
  4. Step 4: Simplify right side
    232,062.40x = 44,042,572,803.84
  5. Step 5: Solve for x
    x = 44,042,572,803.84/232,062.40
  6. Step 6: Final answer
    x = 189,787.63

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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.