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Finding the Fourth Proportional to 221,200.49, 330,185.89 and 189,812.26

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Solution

The fourth proportional to 221,200.49, 330,185.89 and 189,812.26 is: 283,332.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,200.49 : 330,185.89 = 189,812.26 : x
  2. Step 2: Convert to fraction form
    221,200.49/330,185.89 = 189,812.26/x
  3. Step 3: Cross multiply
    221,200.49x = 330,185.89 × 189,812.26
  4. Step 4: Simplify right side
    221,200.49x = 62,673,327,401.02
  5. Step 5: Solve for x
    x = 62,673,327,401.02/221,200.49
  6. Step 6: Final answer
    x = 283,332.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.