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Finding the Fourth Proportional to 198,223, 273,549.78 and 107,579.74

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Solution

The fourth proportional to 198,223, 273,549.78 and 107,579.74 is: 148,461.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,223 : 273,549.78 = 107,579.74 : x
  2. Step 2: Convert to fraction form
    198,223/273,549.78 = 107,579.74/x
  3. Step 3: Cross multiply
    198,223x = 273,549.78 × 107,579.74
  4. Step 4: Simplify right side
    198,223x = 29,428,414,209.46
  5. Step 5: Solve for x
    x = 29,428,414,209.46/198,223
  6. Step 6: Final answer
    x = 148,461.15

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