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Finding the Fourth Proportional to 206,607.85, 309,877.75 and 193,158.61

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Solution

The fourth proportional to 206,607.85, 309,877.75 and 193,158.61 is: 289,706.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,607.85 : 309,877.75 = 193,158.61 : x
  2. Step 2: Convert to fraction form
    206,607.85/309,877.75 = 193,158.61/x
  3. Step 3: Cross multiply
    206,607.85x = 309,877.75 × 193,158.61
  4. Step 4: Simplify right side
    206,607.85x = 59,855,555,459.93
  5. Step 5: Solve for x
    x = 59,855,555,459.93/206,607.85
  6. Step 6: Final answer
    x = 289,706.10

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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.