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Finding the Fourth Proportional to 223,943.20, 309,036.27 and 128,443.80

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Solution

The fourth proportional to 223,943.20, 309,036.27 and 128,443.80 is: 177,249.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,943.20 : 309,036.27 = 128,443.80 : x
  2. Step 2: Convert to fraction form
    223,943.20/309,036.27 = 128,443.80/x
  3. Step 3: Cross multiply
    223,943.20x = 309,036.27 × 128,443.80
  4. Step 4: Simplify right side
    223,943.20x = 39,693,792,856.63
  5. Step 5: Solve for x
    x = 39,693,792,856.63/223,943.20
  6. Step 6: Final answer
    x = 177,249.38

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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.