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Finding the Fourth Proportional to 204,868.66, 307,441.91 and 71,750.02

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Solution

The fourth proportional to 204,868.66, 307,441.91 and 71,750.02 is: 107,673.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,868.66 : 307,441.91 = 71,750.02 : x
  2. Step 2: Convert to fraction form
    204,868.66/307,441.91 = 71,750.02/x
  3. Step 3: Cross multiply
    204,868.66x = 307,441.91 × 71,750.02
  4. Step 4: Simplify right side
    204,868.66x = 22,058,963,191.34
  5. Step 5: Solve for x
    x = 22,058,963,191.34/204,868.66
  6. Step 6: Final answer
    x = 107,673.68

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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.