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Finding the Fourth Proportional to 198,876.56, 298,463.80 and 124,106

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Solution

The fourth proportional to 198,876.56, 298,463.80 and 124,106 is: 186,251.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,876.56 : 298,463.80 = 124,106 : x
  2. Step 2: Convert to fraction form
    198,876.56/298,463.80 = 124,106/x
  3. Step 3: Cross multiply
    198,876.56x = 298,463.80 × 124,106
  4. Step 4: Simplify right side
    198,876.56x = 37,041,148,362.80
  5. Step 5: Solve for x
    x = 37,041,148,362.80/198,876.56
  6. Step 6: Final answer
    x = 186,251.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.