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Finding the Fourth Proportional to 156,824.80, 216,414.48 and 85,203.20

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Solution

The fourth proportional to 156,824.80, 216,414.48 and 85,203.20 is: 117,578.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,824.80 : 216,414.48 = 85,203.20 : x
  2. Step 2: Convert to fraction form
    156,824.80/216,414.48 = 85,203.20/x
  3. Step 3: Cross multiply
    156,824.80x = 216,414.48 × 85,203.20
  4. Step 4: Simplify right side
    156,824.80x = 18,439,206,222.34
  5. Step 5: Solve for x
    x = 18,439,206,222.34/156,824.80
  6. Step 6: Final answer
    x = 117,578.38

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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.