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Finding the Fourth Proportional to 233,201.20, 349,715.40 and 75,434.80

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Solution

The fourth proportional to 233,201.20, 349,715.40 and 75,434.80 is: 113,124.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,201.20 : 349,715.40 = 75,434.80 : x
  2. Step 2: Convert to fraction form
    233,201.20/349,715.40 = 75,434.80/x
  3. Step 3: Cross multiply
    233,201.20x = 349,715.40 × 75,434.80
  4. Step 4: Simplify right side
    233,201.20x = 26,380,711,255.92
  5. Step 5: Solve for x
    x = 26,380,711,255.92/233,201.20
  6. Step 6: Final answer
    x = 113,124.25

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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.