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Finding the Fourth Proportional to 209,849.80, 314,871.90 and 110,122.60

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Solution

The fourth proportional to 209,849.80, 314,871.90 and 110,122.60 is: 165,234.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,849.80 : 314,871.90 = 110,122.60 : x
  2. Step 2: Convert to fraction form
    209,849.80/314,871.90 = 110,122.60/x
  3. Step 3: Cross multiply
    209,849.80x = 314,871.90 × 110,122.60
  4. Step 4: Simplify right side
    209,849.80x = 34,674,512,294.94
  5. Step 5: Solve for x
    x = 34,674,512,294.94/209,849.80
  6. Step 6: Final answer
    x = 165,234.91

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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.