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Finding the Fourth Proportional to 209,805.44, 314,982.50 and 124,571.86

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Solution

The fourth proportional to 209,805.44, 314,982.50 and 124,571.86 is: 187,020.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,805.44 : 314,982.50 = 124,571.86 : x
  2. Step 2: Convert to fraction form
    209,805.44/314,982.50 = 124,571.86/x
  3. Step 3: Cross multiply
    209,805.44x = 314,982.50 × 124,571.86
  4. Step 4: Simplify right side
    209,805.44x = 39,237,955,892.45
  5. Step 5: Solve for x
    x = 39,237,955,892.45/209,805.44
  6. Step 6: Final answer
    x = 187,020.68

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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.