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Finding the Fourth Proportional to 156,766.26, 216,340.02 and 85,146.36

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Solution

The fourth proportional to 156,766.26, 216,340.02 and 85,146.36 is: 117,503.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,766.26 : 216,340.02 = 85,146.36 : x
  2. Step 2: Convert to fraction form
    156,766.26/216,340.02 = 85,146.36/x
  3. Step 3: Cross multiply
    156,766.26x = 216,340.02 × 85,146.36
  4. Step 4: Simplify right side
    156,766.26x = 18,420,565,225.33
  5. Step 5: Solve for x
    x = 18,420,565,225.33/156,766.26
  6. Step 6: Final answer
    x = 117,503.38

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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.