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Finding the Fourth Proportional to 223,513.92, 308,450.81 and 121,538.64

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Solution

The fourth proportional to 223,513.92, 308,450.81 and 121,538.64 is: 167,724.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,513.92 : 308,450.81 = 121,538.64 : x
  2. Step 2: Convert to fraction form
    223,513.92/308,450.81 = 121,538.64/x
  3. Step 3: Cross multiply
    223,513.92x = 308,450.81 × 121,538.64
  4. Step 4: Simplify right side
    223,513.92x = 37,488,691,346.61
  5. Step 5: Solve for x
    x = 37,488,691,346.61/223,513.92
  6. Step 6: Final answer
    x = 167,724.19

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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.