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Finding the Fourth Proportional to 154,182.70, 231,310.86 and 49,001.86

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Solution

The fourth proportional to 154,182.70, 231,310.86 and 49,001.86 is: 73,514.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,182.70 : 231,310.86 = 49,001.86 : x
  2. Step 2: Convert to fraction form
    154,182.70/231,310.86 = 49,001.86/x
  3. Step 3: Cross multiply
    154,182.70x = 231,310.86 × 49,001.86
  4. Step 4: Simplify right side
    154,182.70x = 11,334,662,378.20
  5. Step 5: Solve for x
    x = 11,334,662,378.20/154,182.70
  6. Step 6: Final answer
    x = 73,514.49

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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.