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Finding the Fourth Proportional to 209,351.97, 313,980.78 and 59,588.94

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Solution

The fourth proportional to 209,351.97, 313,980.78 and 59,588.94 is: 89,369.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,351.97 : 313,980.78 = 59,588.94 : x
  2. Step 2: Convert to fraction form
    209,351.97/313,980.78 = 59,588.94/x
  3. Step 3: Cross multiply
    209,351.97x = 313,980.78 × 59,588.94
  4. Step 4: Simplify right side
    209,351.97x = 18,709,781,860.57
  5. Step 5: Solve for x
    x = 18,709,781,860.57/209,351.97
  6. Step 6: Final answer
    x = 89,369.98

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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.