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Finding the Fourth Proportional to 198,482, 273,905.16 and 109,058

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Solution

The fourth proportional to 198,482, 273,905.16 and 109,058 is: 150,500.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,482 : 273,905.16 = 109,058 : x
  2. Step 2: Convert to fraction form
    198,482/273,905.16 = 109,058/x
  3. Step 3: Cross multiply
    198,482x = 273,905.16 × 109,058
  4. Step 4: Simplify right side
    198,482x = 29,871,548,939.28
  5. Step 5: Solve for x
    x = 29,871,548,939.28/198,482
  6. Step 6: Final answer
    x = 150,500.04

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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.