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Finding the Fourth Proportional to 209,908.92, 314,638.88 and 119,757.38

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Solution

The fourth proportional to 209,908.92, 314,638.88 and 119,757.38 is: 179,507.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,908.92 : 314,638.88 = 119,757.38 : x
  2. Step 2: Convert to fraction form
    209,908.92/314,638.88 = 119,757.38/x
  3. Step 3: Cross multiply
    209,908.92x = 314,638.88 × 119,757.38
  4. Step 4: Simplify right side
    209,908.92x = 37,680,325,742.95
  5. Step 5: Solve for x
    x = 37,680,325,742.95/209,908.92
  6. Step 6: Final answer
    x = 179,507.98

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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.