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Finding the Fourth Proportional to 198,480, 273,902.40 and 109,056

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Solution

The fourth proportional to 198,480, 273,902.40 and 109,056 is: 150,497.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,480 : 273,902.40 = 109,056 : x
  2. Step 2: Convert to fraction form
    198,480/273,902.40 = 109,056/x
  3. Step 3: Cross multiply
    198,480x = 273,902.40 × 109,056
  4. Step 4: Simplify right side
    198,480x = 29,870,700,134.40
  5. Step 5: Solve for x
    x = 29,870,700,134.40/198,480
  6. Step 6: Final answer
    x = 150,497.28

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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.