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Finding the Fourth Proportional to 185,766.51, 278,649.72 and 45,523.92

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Solution

The fourth proportional to 185,766.51, 278,649.72 and 45,523.92 is: 68,285.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,766.51 : 278,649.72 = 45,523.92 : x
  2. Step 2: Convert to fraction form
    185,766.51/278,649.72 = 45,523.92/x
  3. Step 3: Cross multiply
    185,766.51x = 278,649.72 × 45,523.92
  4. Step 4: Simplify right side
    185,766.51x = 12,685,227,561.30
  5. Step 5: Solve for x
    x = 12,685,227,561.30/185,766.51
  6. Step 6: Final answer
    x = 68,285.87

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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.