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Finding the Fourth Proportional to 220,034.50, 330,058.23 and 53,822.50

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Solution

The fourth proportional to 220,034.50, 330,058.23 and 53,822.50 is: 80,735.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,034.50 : 330,058.23 = 53,822.50 : x
  2. Step 2: Convert to fraction form
    220,034.50/330,058.23 = 53,822.50/x
  3. Step 3: Cross multiply
    220,034.50x = 330,058.23 × 53,822.50
  4. Step 4: Simplify right side
    220,034.50x = 17,764,559,084.18
  5. Step 5: Solve for x
    x = 17,764,559,084.18/220,034.50
  6. Step 6: Final answer
    x = 80,735.34

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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.