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Finding the Fourth Proportional to 154,954.08, 232,380.24 and 49,748.16

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Solution

The fourth proportional to 154,954.08, 232,380.24 and 49,748.16 is: 74,605.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,954.08 : 232,380.24 = 49,748.16 : x
  2. Step 2: Convert to fraction form
    154,954.08/232,380.24 = 49,748.16/x
  3. Step 3: Cross multiply
    154,954.08x = 232,380.24 × 49,748.16
  4. Step 4: Simplify right side
    154,954.08x = 11,560,489,360.36
  5. Step 5: Solve for x
    x = 11,560,489,360.36/154,954.08
  6. Step 6: Final answer
    x = 74,605.90

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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.