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Finding the Fourth Proportional to 202,127.80, 303,191.70 and 148,983.70

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Solution

The fourth proportional to 202,127.80, 303,191.70 and 148,983.70 is: 223,475.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,127.80 : 303,191.70 = 148,983.70 : x
  2. Step 2: Convert to fraction form
    202,127.80/303,191.70 = 148,983.70/x
  3. Step 3: Cross multiply
    202,127.80x = 303,191.70 × 148,983.70
  4. Step 4: Simplify right side
    202,127.80x = 45,170,621,275.29
  5. Step 5: Solve for x
    x = 45,170,621,275.29/202,127.80
  6. Step 6: Final answer
    x = 223,475.55

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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.