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Finding the Fourth Proportional to 133,690.10, 200,535.15 and 107,446.10

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Solution

The fourth proportional to 133,690.10, 200,535.15 and 107,446.10 is: 161,169.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,690.10 : 200,535.15 = 107,446.10 : x
  2. Step 2: Convert to fraction form
    133,690.10/200,535.15 = 107,446.10/x
  3. Step 3: Cross multiply
    133,690.10x = 200,535.15 × 107,446.10
  4. Step 4: Simplify right side
    133,690.10x = 21,546,719,780.42
  5. Step 5: Solve for x
    x = 21,546,719,780.42/133,690.10
  6. Step 6: Final answer
    x = 161,169.15

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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.