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Finding the Fourth Proportional to 133,774.25, 200,682.05 and 45,020.79

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Solution

The fourth proportional to 133,774.25, 200,682.05 and 45,020.79 is: 67,538.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,774.25 : 200,682.05 = 45,020.79 : x
  2. Step 2: Convert to fraction form
    133,774.25/200,682.05 = 45,020.79/x
  3. Step 3: Cross multiply
    133,774.25x = 200,682.05 × 45,020.79
  4. Step 4: Simplify right side
    133,774.25x = 9,034,864,204.72
  5. Step 5: Solve for x
    x = 9,034,864,204.72/133,774.25
  6. Step 6: Final answer
    x = 67,538.14

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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.