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Finding the Fourth Proportional to 198,807.40, 298,016.70 and 177,812.20

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Solution

The fourth proportional to 198,807.40, 298,016.70 and 177,812.20 is: 266,544.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,807.40 : 298,016.70 = 177,812.20 : x
  2. Step 2: Convert to fraction form
    198,807.40/298,016.70 = 177,812.20/x
  3. Step 3: Cross multiply
    198,807.40x = 298,016.70 × 177,812.20
  4. Step 4: Simplify right side
    198,807.40x = 52,991,005,063.74
  5. Step 5: Solve for x
    x = 52,991,005,063.74/198,807.40
  6. Step 6: Final answer
    x = 266,544.43

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1.5x scale

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.