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Finding the Fourth Proportional to 202,042.04, 278,937.48 and 179,624

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Solution

The fourth proportional to 202,042.04, 278,937.48 and 179,624 is: 247,987.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,042.04 : 278,937.48 = 179,624 : x
  2. Step 2: Convert to fraction form
    202,042.04/278,937.48 = 179,624/x
  3. Step 3: Cross multiply
    202,042.04x = 278,937.48 × 179,624
  4. Step 4: Simplify right side
    202,042.04x = 50,103,865,907.52
  5. Step 5: Solve for x
    x = 50,103,865,907.52/202,042.04
  6. Step 6: Final answer
    x = 247,987.33

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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.