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Finding the Fourth Proportional to 154,574, 231,793.48 and 54,701

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Solution

The fourth proportional to 154,574, 231,793.48 and 54,701 is: 82,027.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,574 : 231,793.48 = 54,701 : x
  2. Step 2: Convert to fraction form
    154,574/231,793.48 = 54,701/x
  3. Step 3: Cross multiply
    154,574x = 231,793.48 × 54,701
  4. Step 4: Simplify right side
    154,574x = 12,679,335,149.48
  5. Step 5: Solve for x
    x = 12,679,335,149.48/154,574
  6. Step 6: Final answer
    x = 82,027.61

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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.