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Finding the Fourth Proportional to 209,674.98, 289,363.62 and 157,899.38

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Solution

The fourth proportional to 209,674.98, 289,363.62 and 157,899.38 is: 217,910.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,674.98 : 289,363.62 = 157,899.38 : x
  2. Step 2: Convert to fraction form
    209,674.98/289,363.62 = 157,899.38/x
  3. Step 3: Cross multiply
    209,674.98x = 289,363.62 × 157,899.38
  4. Step 4: Simplify right side
    209,674.98x = 45,690,334,745.74
  5. Step 5: Solve for x
    x = 45,690,334,745.74/209,674.98
  6. Step 6: Final answer
    x = 217,910.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.