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Finding the Fourth Proportional to 206,756.58, 309,938.04 and 66,416.82

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Solution

The fourth proportional to 206,756.58, 309,938.04 and 66,416.82 is: 99,562.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,756.58 : 309,938.04 = 66,416.82 : x
  2. Step 2: Convert to fraction form
    206,756.58/309,938.04 = 66,416.82/x
  3. Step 3: Cross multiply
    206,756.58x = 309,938.04 × 66,416.82
  4. Step 4: Simplify right side
    206,756.58x = 20,585,099,013.83
  5. Step 5: Solve for x
    x = 20,585,099,013.83/206,756.58
  6. Step 6: Final answer
    x = 99,562.00

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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.