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Finding the Fourth Proportional to 266,165.14, 367,307.97 and 146,933.14

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Solution

The fourth proportional to 266,165.14, 367,307.97 and 146,933.14 is: 202,767.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,165.14 : 367,307.97 = 146,933.14 : x
  2. Step 2: Convert to fraction form
    266,165.14/367,307.97 = 146,933.14/x
  3. Step 3: Cross multiply
    266,165.14x = 367,307.97 × 146,933.14
  4. Step 4: Simplify right side
    266,165.14x = 53,969,713,379.13
  5. Step 5: Solve for x
    x = 53,969,713,379.13/266,165.14
  6. Step 6: Final answer
    x = 202,767.78

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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.