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Finding the Fourth Proportional to 206,515.80, 309,773.70 and 112,037.40

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Solution

The fourth proportional to 206,515.80, 309,773.70 and 112,037.40 is: 168,056.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,515.80 : 309,773.70 = 112,037.40 : x
  2. Step 2: Convert to fraction form
    206,515.80/309,773.70 = 112,037.40/x
  3. Step 3: Cross multiply
    206,515.80x = 309,773.70 × 112,037.40
  4. Step 4: Simplify right side
    206,515.80x = 34,706,239,936.38
  5. Step 5: Solve for x
    x = 34,706,239,936.38/206,515.80
  6. Step 6: Final answer
    x = 168,056.10

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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.