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Finding the Fourth Proportional to 198,205.60, 296,444.40 and 177,296.80

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Solution

The fourth proportional to 198,205.60, 296,444.40 and 177,296.80 is: 265,172.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,205.60 : 296,444.40 = 177,296.80 : x
  2. Step 2: Convert to fraction form
    198,205.60/296,444.40 = 177,296.80/x
  3. Step 3: Cross multiply
    198,205.60x = 296,444.40 × 177,296.80
  4. Step 4: Simplify right side
    198,205.60x = 52,558,643,497.92
  5. Step 5: Solve for x
    x = 52,558,643,497.92/198,205.60
  6. Step 6: Final answer
    x = 265,172.34

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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.