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Finding the Fourth Proportional to 233,049.20, 349,600.80 and 75,293.60

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Solution

The fourth proportional to 233,049.20, 349,600.80 and 75,293.60 is: 112,949.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,049.20 : 349,600.80 = 75,293.60 : x
  2. Step 2: Convert to fraction form
    233,049.20/349,600.80 = 75,293.60/x
  3. Step 3: Cross multiply
    233,049.20x = 349,600.80 × 75,293.60
  4. Step 4: Simplify right side
    233,049.20x = 26,322,702,794.88
  5. Step 5: Solve for x
    x = 26,322,702,794.88/233,049.20
  6. Step 6: Final answer
    x = 112,949.12

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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.