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Finding the Fourth Proportional to 200,672.10, 301,008.15 and 161,306.10

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Solution

The fourth proportional to 200,672.10, 301,008.15 and 161,306.10 is: 241,959.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,672.10 : 301,008.15 = 161,306.10 : x
  2. Step 2: Convert to fraction form
    200,672.10/301,008.15 = 161,306.10/x
  3. Step 3: Cross multiply
    200,672.10x = 301,008.15 × 161,306.10
  4. Step 4: Simplify right side
    200,672.10x = 48,554,450,744.72
  5. Step 5: Solve for x
    x = 48,554,450,744.72/200,672.10
  6. Step 6: Final answer
    x = 241,959.15

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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.