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Finding the Fourth Proportional to 148,189.38, 204,497.34 and 84,525.84

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Solution

The fourth proportional to 148,189.38, 204,497.34 and 84,525.84 is: 116,643.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,189.38 : 204,497.34 = 84,525.84 : x
  2. Step 2: Convert to fraction form
    148,189.38/204,497.34 = 84,525.84/x
  3. Step 3: Cross multiply
    148,189.38x = 204,497.34 × 84,525.84
  4. Step 4: Simplify right side
    148,189.38x = 17,285,309,441.27
  5. Step 5: Solve for x
    x = 17,285,309,441.27/148,189.38
  6. Step 6: Final answer
    x = 116,643.38

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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.