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Finding the Fourth Proportional to 147,251.72, 203,201.81 and 89,986.80

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Solution

The fourth proportional to 147,251.72, 203,201.81 and 89,986.80 is: 124,178.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,251.72 : 203,201.81 = 89,986.80 : x
  2. Step 2: Convert to fraction form
    147,251.72/203,201.81 = 89,986.80/x
  3. Step 3: Cross multiply
    147,251.72x = 203,201.81 × 89,986.80
  4. Step 4: Simplify right side
    147,251.72x = 18,285,480,648.80
  5. Step 5: Solve for x
    x = 18,285,480,648.80/147,251.72
  6. Step 6: Final answer
    x = 124,178.38

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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.