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Finding the Fourth Proportional to 209,850.30, 289,584.98 and 114,354.94

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Solution

The fourth proportional to 209,850.30, 289,584.98 and 114,354.94 is: 157,805.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,850.30 : 289,584.98 = 114,354.94 : x
  2. Step 2: Convert to fraction form
    209,850.30/289,584.98 = 114,354.94/x
  3. Step 3: Cross multiply
    209,850.30x = 289,584.98 × 114,354.94
  4. Step 4: Simplify right side
    209,850.30x = 33,115,473,012.80
  5. Step 5: Solve for x
    x = 33,115,473,012.80/209,850.30
  6. Step 6: Final answer
    x = 157,805.22

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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.