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Finding the Fourth Proportional to 198,225.82, 273,551.82 and 107,581.85

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Solution

The fourth proportional to 198,225.82, 273,551.82 and 107,581.85 is: 148,463.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,225.82 : 273,551.82 = 107,581.85 : x
  2. Step 2: Convert to fraction form
    198,225.82/273,551.82 = 107,581.85/x
  3. Step 3: Cross multiply
    198,225.82x = 273,551.82 × 107,581.85
  4. Step 4: Simplify right side
    198,225.82x = 29,429,209,805.59
  5. Step 5: Solve for x
    x = 29,429,209,805.59/198,225.82
  6. Step 6: Final answer
    x = 148,463.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.