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Finding the Fourth Proportional to 202,193, 303,276.70 and 78,966.52

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Solution

The fourth proportional to 202,193, 303,276.70 and 78,966.52 is: 118,444.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,193 : 303,276.70 = 78,966.52 : x
  2. Step 2: Convert to fraction form
    202,193/303,276.70 = 78,966.52/x
  3. Step 3: Cross multiply
    202,193x = 303,276.70 × 78,966.52
  4. Step 4: Simplify right side
    202,193x = 23,948,705,596.08
  5. Step 5: Solve for x
    x = 23,948,705,596.08/202,193
  6. Step 6: Final answer
    x = 118,444.78

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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.