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Finding the Fourth Proportional to 156,997.64, 216,647.87 and 85,377.65

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Solution

The fourth proportional to 156,997.64, 216,647.87 and 85,377.65 is: 117,816.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,997.64 : 216,647.87 = 85,377.65 : x
  2. Step 2: Convert to fraction form
    156,997.64/216,647.87 = 85,377.65/x
  3. Step 3: Cross multiply
    156,997.64x = 216,647.87 × 85,377.65
  4. Step 4: Simplify right side
    156,997.64x = 18,496,884,507.98
  5. Step 5: Solve for x
    x = 18,496,884,507.98/156,997.64
  6. Step 6: Final answer
    x = 117,816.32

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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.