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Finding the Fourth Proportional to 206,407.31, 309,312.14 and 142,299.65

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Solution

The fourth proportional to 206,407.31, 309,312.14 and 142,299.65 is: 213,243.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,407.31 : 309,312.14 = 142,299.65 : x
  2. Step 2: Convert to fraction form
    206,407.31/309,312.14 = 142,299.65/x
  3. Step 3: Cross multiply
    206,407.31x = 309,312.14 × 142,299.65
  4. Step 4: Simplify right side
    206,407.31x = 44,015,007,004.69
  5. Step 5: Solve for x
    x = 44,015,007,004.69/206,407.31
  6. Step 6: Final answer
    x = 213,243.46

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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.