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Finding the Fourth Proportional to 209,708.96, 314,341.88 and 150,512.54

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Solution

The fourth proportional to 209,708.96, 314,341.88 and 150,512.54 is: 225,609.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,708.96 : 314,341.88 = 150,512.54 : x
  2. Step 2: Convert to fraction form
    209,708.96/314,341.88 = 150,512.54/x
  3. Step 3: Cross multiply
    209,708.96x = 314,341.88 × 150,512.54
  4. Step 4: Simplify right side
    209,708.96x = 47,312,394,787.18
  5. Step 5: Solve for x
    x = 47,312,394,787.18/209,708.96
  6. Step 6: Final answer
    x = 225,609.79

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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.