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Finding the Fourth Proportional to 156,832.56, 216,429.84 and 85,213.16

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Solution

The fourth proportional to 156,832.56, 216,429.84 and 85,213.16 is: 117,594.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,832.56 : 216,429.84 = 85,213.16 : x
  2. Step 2: Convert to fraction form
    156,832.56/216,429.84 = 85,213.16/x
  3. Step 3: Cross multiply
    156,832.56x = 216,429.84 × 85,213.16
  4. Step 4: Simplify right side
    156,832.56x = 18,442,670,584.69
  5. Step 5: Solve for x
    x = 18,442,670,584.69/156,832.56
  6. Step 6: Final answer
    x = 117,594.65

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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.