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Finding the Fourth Proportional to 223,805.40, 308,865.44 and 123,203.40

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Solution

The fourth proportional to 223,805.40, 308,865.44 and 123,203.40 is: 170,028.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,805.40 : 308,865.44 = 123,203.40 : x
  2. Step 2: Convert to fraction form
    223,805.40/308,865.44 = 123,203.40/x
  3. Step 3: Cross multiply
    223,805.40x = 308,865.44 × 123,203.40
  4. Step 4: Simplify right side
    223,805.40x = 38,053,272,350.50
  5. Step 5: Solve for x
    x = 38,053,272,350.50/223,805.40
  6. Step 6: Final answer
    x = 170,028.39

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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.