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Finding the Fourth Proportional to 156,906.06, 216,531.69 and 85,286.07

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Solution

The fourth proportional to 156,906.06, 216,531.69 and 85,286.07 is: 117,695.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,906.06 : 216,531.69 = 85,286.07 : x
  2. Step 2: Convert to fraction form
    156,906.06/216,531.69 = 85,286.07/x
  3. Step 3: Cross multiply
    156,906.06x = 216,531.69 × 85,286.07
  4. Step 4: Simplify right side
    156,906.06x = 18,467,136,870.56
  5. Step 5: Solve for x
    x = 18,467,136,870.56/156,906.06
  6. Step 6: Final answer
    x = 117,695.50

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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.