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Finding the Fourth Proportional to 156,778.86, 216,356.01 and 85,158.87

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Solution

The fourth proportional to 156,778.86, 216,356.01 and 85,158.87 is: 117,519.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,778.86 : 216,356.01 = 85,158.87 : x
  2. Step 2: Convert to fraction form
    156,778.86/216,356.01 = 85,158.87/x
  3. Step 3: Cross multiply
    156,778.86x = 216,356.01 × 85,158.87
  4. Step 4: Simplify right side
    156,778.86x = 18,424,633,329.31
  5. Step 5: Solve for x
    x = 18,424,633,329.31/156,778.86
  6. Step 6: Final answer
    x = 117,519.88

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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.