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Finding the Fourth Proportional to 198,950.70, 298,050.48 and 154,049.16

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Solution

The fourth proportional to 198,950.70, 298,050.48 and 154,049.16 is: 230,782.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,950.70 : 298,050.48 = 154,049.16 : x
  2. Step 2: Convert to fraction form
    198,950.70/298,050.48 = 154,049.16/x
  3. Step 3: Cross multiply
    198,950.70x = 298,050.48 × 154,049.16
  4. Step 4: Simplify right side
    198,950.70x = 45,914,426,081.60
  5. Step 5: Solve for x
    x = 45,914,426,081.60/198,950.70
  6. Step 6: Final answer
    x = 230,782.93

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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.