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Finding the Fourth Proportional to 185,766.48, 278,649.66 and 45,523.92

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Solution

The fourth proportional to 185,766.48, 278,649.66 and 45,523.92 is: 68,285.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,766.48 : 278,649.66 = 45,523.92 : x
  2. Step 2: Convert to fraction form
    185,766.48/278,649.66 = 45,523.92/x
  3. Step 3: Cross multiply
    185,766.48x = 278,649.66 × 45,523.92
  4. Step 4: Simplify right side
    185,766.48x = 12,685,224,829.87
  5. Step 5: Solve for x
    x = 12,685,224,829.87/185,766.48
  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.