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Finding the Fourth Proportional to 202,111.80, 303,167.70 and 148,967.70

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Solution

The fourth proportional to 202,111.80, 303,167.70 and 148,967.70 is: 223,451.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,111.80 : 303,167.70 = 148,967.70 : x
  2. Step 2: Convert to fraction form
    202,111.80/303,167.70 = 148,967.70/x
  3. Step 3: Cross multiply
    202,111.80x = 303,167.70 × 148,967.70
  4. Step 4: Simplify right side
    202,111.80x = 45,162,194,983.29
  5. Step 5: Solve for x
    x = 45,162,194,983.29/202,111.80
  6. Step 6: Final answer
    x = 223,451.55

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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.