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Finding the Fourth Proportional to 201,770.40, 302,947.20 and 152,198.40

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Solution

The fourth proportional to 201,770.40, 302,947.20 and 152,198.40 is: 228,517.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,770.40 : 302,947.20 = 152,198.40 : x
  2. Step 2: Convert to fraction form
    201,770.40/302,947.20 = 152,198.40/x
  3. Step 3: Cross multiply
    201,770.40x = 302,947.20 × 152,198.40
  4. Step 4: Simplify right side
    201,770.40x = 46,108,079,124.48
  5. Step 5: Solve for x
    x = 46,108,079,124.48/201,770.40
  6. Step 6: Final answer
    x = 228,517.56

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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.