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Finding the Fourth Proportional to 133,701.10, 200,551.65 and 129,813.10

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Solution

The fourth proportional to 133,701.10, 200,551.65 and 129,813.10 is: 194,719.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,701.10 : 200,551.65 = 129,813.10 : x
  2. Step 2: Convert to fraction form
    133,701.10/200,551.65 = 129,813.10/x
  3. Step 3: Cross multiply
    133,701.10x = 200,551.65 × 129,813.10
  4. Step 4: Simplify right side
    133,701.10x = 26,034,231,396.62
  5. Step 5: Solve for x
    x = 26,034,231,396.62/133,701.10
  6. Step 6: Final answer
    x = 194,719.65

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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.