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Finding the Fourth Proportional to 154,205.60, 231,324.60 and 49,000.10

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Solution

The fourth proportional to 154,205.60, 231,324.60 and 49,000.10 is: 73,505.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,205.60 : 231,324.60 = 49,000.10 : x
  2. Step 2: Convert to fraction form
    154,205.60/231,324.60 = 49,000.10/x
  3. Step 3: Cross multiply
    154,205.60x = 231,324.60 × 49,000.10
  4. Step 4: Simplify right side
    154,205.60x = 11,334,928,532.46
  5. Step 5: Solve for x
    x = 11,334,928,532.46/154,205.60
  6. Step 6: Final answer
    x = 73,505.30

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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.