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Finding the Fourth Proportional to 223,987.77, 309,103.16 and 123,385.77

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Solution

The fourth proportional to 223,987.77, 309,103.16 and 123,385.77 is: 170,272.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,987.77 : 309,103.16 = 123,385.77 : x
  2. Step 2: Convert to fraction form
    223,987.77/309,103.16 = 123,385.77/x
  3. Step 3: Cross multiply
    223,987.77x = 309,103.16 × 123,385.77
  4. Step 4: Simplify right side
    223,987.77x = 38,138,930,789.10
  5. Step 5: Solve for x
    x = 38,138,930,789.10/223,987.77
  6. Step 6: Final answer
    x = 170,272.38

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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.