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Finding the Fourth Proportional to 198,869, 274,439.76 and 109,445

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Solution

The fourth proportional to 198,869, 274,439.76 and 109,445 is: 151,034.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,869 : 274,439.76 = 109,445 : x
  2. Step 2: Convert to fraction form
    198,869/274,439.76 = 109,445/x
  3. Step 3: Cross multiply
    198,869x = 274,439.76 × 109,445
  4. Step 4: Simplify right side
    198,869x = 30,036,059,533.20
  5. Step 5: Solve for x
    x = 30,036,059,533.20/198,869
  6. Step 6: Final answer
    x = 151,034.40

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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.