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Finding the Fourth Proportional to 154,481.40, 231,722.10 and 75,749.40

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Solution

The fourth proportional to 154,481.40, 231,722.10 and 75,749.40 is: 113,624.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,481.40 : 231,722.10 = 75,749.40 : x
  2. Step 2: Convert to fraction form
    154,481.40/231,722.10 = 75,749.40/x
  3. Step 3: Cross multiply
    154,481.40x = 231,722.10 × 75,749.40
  4. Step 4: Simplify right side
    154,481.40x = 17,552,810,041.74
  5. Step 5: Solve for x
    x = 17,552,810,041.74/154,481.40
  6. Step 6: Final answer
    x = 113,624.10

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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.