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Finding the Fourth Proportional to 202,022, 278,799 and 112,598

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Solution

The fourth proportional to 202,022, 278,799 and 112,598 is: 155,390.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,022 : 278,799 = 112,598 : x
  2. Step 2: Convert to fraction form
    202,022/278,799 = 112,598/x
  3. Step 3: Cross multiply
    202,022x = 278,799 × 112,598
  4. Step 4: Simplify right side
    202,022x = 31,392,209,802
  5. Step 5: Solve for x
    x = 31,392,209,802/202,022
  6. Step 6: Final answer
    x = 155,390.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.