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Finding the Fourth Proportional to 146,311.82, 201,903.66 and 91,892.10

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Solution

The fourth proportional to 146,311.82, 201,903.66 and 91,892.10 is: 126,806.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,311.82 : 201,903.66 = 91,892.10 : x
  2. Step 2: Convert to fraction form
    146,311.82/201,903.66 = 91,892.10/x
  3. Step 3: Cross multiply
    146,311.82x = 201,903.66 × 91,892.10
  4. Step 4: Simplify right side
    146,311.82x = 18,553,351,315.09
  5. Step 5: Solve for x
    x = 18,553,351,315.09/146,311.82
  6. Step 6: Final answer
    x = 126,806.92

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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.