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Finding the Fourth Proportional to 198,898.40, 274,508.72 and 111,693.30

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Solution

The fourth proportional to 198,898.40, 274,508.72 and 111,693.30 is: 154,153.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,898.40 : 274,508.72 = 111,693.30 : x
  2. Step 2: Convert to fraction form
    198,898.40/274,508.72 = 111,693.30/x
  3. Step 3: Cross multiply
    198,898.40x = 274,508.72 × 111,693.30
  4. Step 4: Simplify right side
    198,898.40x = 30,660,784,815.58
  5. Step 5: Solve for x
    x = 30,660,784,815.58/198,898.40
  6. Step 6: Final answer
    x = 154,153.00

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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.