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Finding the Fourth Proportional to 198,225.60, 296,474.40 and 177,316.80

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Solution

The fourth proportional to 198,225.60, 296,474.40 and 177,316.80 is: 265,202.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,225.60 : 296,474.40 = 177,316.80 : x
  2. Step 2: Convert to fraction form
    198,225.60/296,474.40 = 177,316.80/x
  3. Step 3: Cross multiply
    198,225.60x = 296,474.40 × 177,316.80
  4. Step 4: Simplify right side
    198,225.60x = 52,569,891,889.92
  5. Step 5: Solve for x
    x = 52,569,891,889.92/198,225.60
  6. Step 6: Final answer
    x = 265,202.33

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