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Finding the Fourth Proportional to 156,963.06, 216,607.92 and 85,343.10

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Solution

The fourth proportional to 156,963.06, 216,607.92 and 85,343.10 is: 117,772.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,963.06 : 216,607.92 = 85,343.10 : x
  2. Step 2: Convert to fraction form
    156,963.06/216,607.92 = 85,343.10/x
  3. Step 3: Cross multiply
    156,963.06x = 216,607.92 × 85,343.10
  4. Step 4: Simplify right side
    156,963.06x = 18,485,991,377.35
  5. Step 5: Solve for x
    x = 18,485,991,377.35/156,963.06
  6. Step 6: Final answer
    x = 117,772.88

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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.