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Finding the Fourth Proportional to 156,644.16, 216,163.12 and 85,022.65

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Solution

The fourth proportional to 156,644.16, 216,163.12 and 85,022.65 is: 117,328.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,644.16 : 216,163.12 = 85,022.65 : x
  2. Step 2: Convert to fraction form
    156,644.16/216,163.12 = 85,022.65/x
  3. Step 3: Cross multiply
    156,644.16x = 216,163.12 × 85,022.65
  4. Step 4: Simplify right side
    156,644.16x = 18,378,761,294.67
  5. Step 5: Solve for x
    x = 18,378,761,294.67/156,644.16
  6. Step 6: Final answer
    x = 117,328.10

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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.