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Finding the Fourth Proportional to 156,814.74, 216,404.52 and 85,194.84

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Solution

The fourth proportional to 156,814.74, 216,404.52 and 85,194.84 is: 117,568.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,814.74 : 216,404.52 = 85,194.84 : x
  2. Step 2: Convert to fraction form
    156,814.74/216,404.52 = 85,194.84/x
  3. Step 3: Cross multiply
    156,814.74x = 216,404.52 × 85,194.84
  4. Step 4: Simplify right side
    156,814.74x = 18,436,548,456.68
  5. Step 5: Solve for x
    x = 18,436,548,456.68/156,814.74
  6. Step 6: Final answer
    x = 117,568.98

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1.5x scale

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.