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Finding the Fourth Proportional to 226,765.99, 312,872.14 and 146,239.75

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Solution

The fourth proportional to 226,765.99, 312,872.14 and 146,239.75 is: 201,768.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,765.99 : 312,872.14 = 146,239.75 : x
  2. Step 2: Convert to fraction form
    226,765.99/312,872.14 = 146,239.75/x
  3. Step 3: Cross multiply
    226,765.99x = 312,872.14 × 146,239.75
  4. Step 4: Simplify right side
    226,765.99x = 45,754,343,535.57
  5. Step 5: Solve for x
    x = 45,754,343,535.57/226,765.99
  6. Step 6: Final answer
    x = 201,768.98

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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.