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Finding the Fourth Proportional to 156,814.75, 216,404.58 and 85,194.82

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Solution

The fourth proportional to 156,814.75, 216,404.58 and 85,194.82 is: 117,568.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,814.75 : 216,404.58 = 85,194.82 : x
  2. Step 2: Convert to fraction form
    156,814.75/216,404.58 = 85,194.82/x
  3. Step 3: Cross multiply
    156,814.75x = 216,404.58 × 85,194.82
  4. Step 4: Simplify right side
    156,814.75x = 18,436,549,240.28
  5. Step 5: Solve for x
    x = 18,436,549,240.28/156,814.75
  6. Step 6: Final answer
    x = 117,568.97

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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.