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Finding the Fourth Proportional to 267,785.73, 369,544.14 and 146,927.79

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Solution

The fourth proportional to 267,785.73, 369,544.14 and 146,927.79 is: 202,760.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,785.73 : 369,544.14 = 146,927.79 : x
  2. Step 2: Convert to fraction form
    267,785.73/369,544.14 = 146,927.79/x
  3. Step 3: Cross multiply
    267,785.73x = 369,544.14 × 146,927.79
  4. Step 4: Simplify right side
    267,785.73x = 54,296,303,797.65
  5. Step 5: Solve for x
    x = 54,296,303,797.65/267,785.73
  6. Step 6: Final answer
    x = 202,760.26

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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.