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Finding the Fourth Proportional to 198,468, 273,885.84 and 109,044

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Solution

The fourth proportional to 198,468, 273,885.84 and 109,044 is: 150,480.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,468 : 273,885.84 = 109,044 : x
  2. Step 2: Convert to fraction form
    198,468/273,885.84 = 109,044/x
  3. Step 3: Cross multiply
    198,468x = 273,885.84 × 109,044
  4. Step 4: Simplify right side
    198,468x = 29,865,607,536.96
  5. Step 5: Solve for x
    x = 29,865,607,536.96/198,468
  6. Step 6: Final answer
    x = 150,480.72

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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.