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Finding the Fourth Proportional to 223,788.74, 335,309.43 and 157,109.49

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Solution

The fourth proportional to 223,788.74, 335,309.43 and 157,109.49 is: 235,401.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,788.74 : 335,309.43 = 157,109.49 : x
  2. Step 2: Convert to fraction form
    223,788.74/335,309.43 = 157,109.49/x
  3. Step 3: Cross multiply
    223,788.74x = 335,309.43 × 157,109.49
  4. Step 4: Simplify right side
    223,788.74x = 52,680,293,539.49
  5. Step 5: Solve for x
    x = 52,680,293,539.49/223,788.74
  6. Step 6: Final answer
    x = 235,401.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.