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Finding the Fourth Proportional to 185,243.52, 255,647.84 and 113,613.78

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Solution

The fourth proportional to 185,243.52, 255,647.84 and 113,613.78 is: 156,794.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,243.52 : 255,647.84 = 113,613.78 : x
  2. Step 2: Convert to fraction form
    185,243.52/255,647.84 = 113,613.78/x
  3. Step 3: Cross multiply
    185,243.52x = 255,647.84 × 113,613.78
  4. Step 4: Simplify right side
    185,243.52x = 29,045,117,451.24
  5. Step 5: Solve for x
    x = 29,045,117,451.24/185,243.52
  6. Step 6: Final answer
    x = 156,794.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.