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Finding the Fourth Proportional to 133,805.88, 200,719.77 and 67,211.76

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Solution

The fourth proportional to 133,805.88, 200,719.77 and 67,211.76 is: 100,823.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,805.88 : 200,719.77 = 67,211.76 : x
  2. Step 2: Convert to fraction form
    133,805.88/200,719.77 = 67,211.76/x
  3. Step 3: Cross multiply
    133,805.88x = 200,719.77 × 67,211.76
  4. Step 4: Simplify right side
    133,805.88x = 13,490,729,008.50
  5. Step 5: Solve for x
    x = 13,490,729,008.50/133,805.88
  6. Step 6: Final answer
    x = 100,823.14

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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.