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Finding the Fourth Proportional to 154,041.40, 231,062.10 and 133,046.20

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Solution

The fourth proportional to 154,041.40, 231,062.10 and 133,046.20 is: 199,569.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,041.40 : 231,062.10 = 133,046.20 : x
  2. Step 2: Convert to fraction form
    154,041.40/231,062.10 = 133,046.20/x
  3. Step 3: Cross multiply
    154,041.40x = 231,062.10 × 133,046.20
  4. Step 4: Simplify right side
    154,041.40x = 30,741,934,369.02
  5. Step 5: Solve for x
    x = 30,741,934,369.02/154,041.40
  6. Step 6: Final answer
    x = 199,569.30

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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.