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Finding the Fourth Proportional to 185,514.68, 278,276.88 and 52,409

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Solution

The fourth proportional to 185,514.68, 278,276.88 and 52,409 is: 78,614.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,514.68 : 278,276.88 = 52,409 : x
  2. Step 2: Convert to fraction form
    185,514.68/278,276.88 = 52,409/x
  3. Step 3: Cross multiply
    185,514.68x = 278,276.88 × 52,409
  4. Step 4: Simplify right side
    185,514.68x = 14,584,213,003.92
  5. Step 5: Solve for x
    x = 14,584,213,003.92/185,514.68
  6. Step 6: Final answer
    x = 78,614.87

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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.