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Finding the Fourth Proportional to 267,758.32, 369,504.96 and 146,896.60

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Solution

The fourth proportional to 267,758.32, 369,504.96 and 146,896.60 is: 202,716.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,758.32 : 369,504.96 = 146,896.60 : x
  2. Step 2: Convert to fraction form
    267,758.32/369,504.96 = 146,896.60/x
  3. Step 3: Cross multiply
    267,758.32x = 369,504.96 × 146,896.60
  4. Step 4: Simplify right side
    267,758.32x = 54,279,022,307.14
  5. Step 5: Solve for x
    x = 54,279,022,307.14/267,758.32
  6. Step 6: Final answer
    x = 202,716.47

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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.