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Finding the Fourth Proportional to 220,166.81, 303,830.20 and 119,564.81

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Solution

The fourth proportional to 220,166.81, 303,830.20 and 119,564.81 is: 164,999.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,166.81 : 303,830.20 = 119,564.81 : x
  2. Step 2: Convert to fraction form
    220,166.81/303,830.20 = 119,564.81/x
  3. Step 3: Cross multiply
    220,166.81x = 303,830.20 × 119,564.81
  4. Step 4: Simplify right side
    220,166.81x = 36,327,401,044.29
  5. Step 5: Solve for x
    x = 36,327,401,044.29/220,166.81
  6. Step 6: Final answer
    x = 164,999.44

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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.