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Finding the Fourth Proportional to 209,952.45, 314,982.97 and 60,203.70

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Solution

The fourth proportional to 209,952.45, 314,982.97 and 60,203.70 is: 90,321.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,952.45 : 314,982.97 = 60,203.70 : x
  2. Step 2: Convert to fraction form
    209,952.45/314,982.97 = 60,203.70/x
  3. Step 3: Cross multiply
    209,952.45x = 314,982.97 × 60,203.70
  4. Step 4: Simplify right side
    209,952.45x = 18,963,140,230.99
  5. Step 5: Solve for x
    x = 18,963,140,230.99/209,952.45
  6. Step 6: Final answer
    x = 90,321.12

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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.