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Finding the Fourth Proportional to 154,209.62, 231,314.67 and 43,401.62

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Solution

The fourth proportional to 154,209.62, 231,314.67 and 43,401.62 is: 65,102.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,209.62 : 231,314.67 = 43,401.62 : x
  2. Step 2: Convert to fraction form
    154,209.62/231,314.67 = 43,401.62/x
  3. Step 3: Cross multiply
    154,209.62x = 231,314.67 × 43,401.62
  4. Step 4: Simplify right side
    154,209.62x = 10,039,431,407.77
  5. Step 5: Solve for x
    x = 10,039,431,407.77/154,209.62
  6. Step 6: Final answer
    x = 65,102.50

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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.