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Finding the Fourth Proportional to 156,692.57, 216,229.84 and 85,071.06

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Solution

The fourth proportional to 156,692.57, 216,229.84 and 85,071.06 is: 117,394.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,692.57 : 216,229.84 = 85,071.06 : x
  2. Step 2: Convert to fraction form
    156,692.57/216,229.84 = 85,071.06/x
  3. Step 3: Cross multiply
    156,692.57x = 216,229.84 × 85,071.06
  4. Step 4: Simplify right side
    156,692.57x = 18,394,901,479.75
  5. Step 5: Solve for x
    x = 18,394,901,479.75/156,692.57
  6. Step 6: Final answer
    x = 117,394.86

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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.