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Finding the Fourth Proportional to 267,821.99, 369,593.33 and 146,965.30

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Solution

The fourth proportional to 267,821.99, 369,593.33 and 146,965.30 is: 202,811.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,821.99 : 369,593.33 = 146,965.30 : x
  2. Step 2: Convert to fraction form
    267,821.99/369,593.33 = 146,965.30/x
  3. Step 3: Cross multiply
    267,821.99x = 369,593.33 × 146,965.30
  4. Step 4: Simplify right side
    267,821.99x = 54,317,392,962.64
  5. Step 5: Solve for x
    x = 54,317,392,962.64/267,821.99
  6. Step 6: Final answer
    x = 202,811.55

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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.