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Finding the Fourth Proportional to 156,633.97, 216,155.06 and 85,014

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Solution

The fourth proportional to 156,633.97, 216,155.06 and 85,014 is: 117,319.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,633.97 : 216,155.06 = 85,014 : x
  2. Step 2: Convert to fraction form
    156,633.97/216,155.06 = 85,014/x
  3. Step 3: Cross multiply
    156,633.97x = 216,155.06 × 85,014
  4. Step 4: Simplify right side
    156,633.97x = 18,376,205,845.77
  5. Step 5: Solve for x
    x = 18,376,205,845.77/156,633.97
  6. Step 6: Final answer
    x = 117,319.42

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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.