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Finding the Fourth Proportional to 209,734.40, 313,910.40 and 162,732.80

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Solution

The fourth proportional to 209,734.40, 313,910.40 and 162,732.80 is: 243,562.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,734.40 : 313,910.40 = 162,732.80 : x
  2. Step 2: Convert to fraction form
    209,734.40/313,910.40 = 162,732.80/x
  3. Step 3: Cross multiply
    209,734.40x = 313,910.40 × 162,732.80
  4. Step 4: Simplify right side
    209,734.40x = 51,083,518,341.12
  5. Step 5: Solve for x
    x = 51,083,518,341.12/209,734.40
  6. Step 6: Final answer
    x = 243,562.90

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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.