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Finding the Fourth Proportional to 223,456.14, 308,375.55 and 121,488.46

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Solution

The fourth proportional to 223,456.14, 308,375.55 and 121,488.46 is: 167,657.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,456.14 : 308,375.55 = 121,488.46 : x
  2. Step 2: Convert to fraction form
    223,456.14/308,375.55 = 121,488.46/x
  3. Step 3: Cross multiply
    223,456.14x = 308,375.55 × 121,488.46
  4. Step 4: Simplify right side
    223,456.14x = 37,464,070,355.80
  5. Step 5: Solve for x
    x = 37,464,070,355.80/223,456.14
  6. Step 6: Final answer
    x = 167,657.38

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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.