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Finding the Fourth Proportional to 154,656.72, 231,947.28 and 49,453.92

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Solution

The fourth proportional to 154,656.72, 231,947.28 and 49,453.92 is: 74,168.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,656.72 : 231,947.28 = 49,453.92 : x
  2. Step 2: Convert to fraction form
    154,656.72/231,947.28 = 49,453.92/x
  3. Step 3: Cross multiply
    154,656.72x = 231,947.28 × 49,453.92
  4. Step 4: Simplify right side
    154,656.72x = 11,470,702,229.34
  5. Step 5: Solve for x
    x = 11,470,702,229.34/154,656.72
  6. Step 6: Final answer
    x = 74,168.79

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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.