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Finding the Fourth Proportional to 223,176.64, 307,982.78 and 121,201.30

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Solution

The fourth proportional to 223,176.64, 307,982.78 and 121,201.30 is: 167,257.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,176.64 : 307,982.78 = 121,201.30 : x
  2. Step 2: Convert to fraction form
    223,176.64/307,982.78 = 121,201.30/x
  3. Step 3: Cross multiply
    223,176.64x = 307,982.78 × 121,201.30
  4. Step 4: Simplify right side
    223,176.64x = 37,327,912,707.61
  5. Step 5: Solve for x
    x = 37,327,912,707.61/223,176.64
  6. Step 6: Final answer
    x = 167,257.26

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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.