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Finding the Fourth Proportional to 156,862.36, 216,469.38 and 85,241.08

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Solution

The fourth proportional to 156,862.36, 216,469.38 and 85,241.08 is: 117,632.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,862.36 : 216,469.38 = 85,241.08 : x
  2. Step 2: Convert to fraction form
    156,862.36/216,469.38 = 85,241.08/x
  3. Step 3: Cross multiply
    156,862.36x = 216,469.38 × 85,241.08
  4. Step 4: Simplify right side
    156,862.36x = 18,452,083,738.13
  5. Step 5: Solve for x
    x = 18,452,083,738.13/156,862.36
  6. Step 6: Final answer
    x = 117,632.32

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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.