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Finding the Fourth Proportional to 146,125.99, 201,793.14 and 138,165.20

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Solution

The fourth proportional to 146,125.99, 201,793.14 and 138,165.20 is: 190,799.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,125.99 : 201,793.14 = 138,165.20 : x
  2. Step 2: Convert to fraction form
    146,125.99/201,793.14 = 138,165.20/x
  3. Step 3: Cross multiply
    146,125.99x = 201,793.14 × 138,165.20
  4. Step 4: Simplify right side
    146,125.99x = 27,880,789,546.73
  5. Step 5: Solve for x
    x = 27,880,789,546.73/146,125.99
  6. Step 6: Final answer
    x = 190,799.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.