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Finding the Fourth Proportional to 206,691.60, 310,037.40 and 101,715.60

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Solution

The fourth proportional to 206,691.60, 310,037.40 and 101,715.60 is: 152,573.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,691.60 : 310,037.40 = 101,715.60 : x
  2. Step 2: Convert to fraction form
    206,691.60/310,037.40 = 101,715.60/x
  3. Step 3: Cross multiply
    206,691.60x = 310,037.40 × 101,715.60
  4. Step 4: Simplify right side
    206,691.60x = 31,535,640,163.44
  5. Step 5: Solve for x
    x = 31,535,640,163.44/206,691.60
  6. Step 6: Final answer
    x = 152,573.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.