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Finding the Fourth Proportional to 267,782.40, 369,550.32 and 146,928.96

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Solution

The fourth proportional to 267,782.40, 369,550.32 and 146,928.96 is: 202,767.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,782.40 : 369,550.32 = 146,928.96 : x
  2. Step 2: Convert to fraction form
    267,782.40/369,550.32 = 146,928.96/x
  3. Step 3: Cross multiply
    267,782.40x = 369,550.32 × 146,928.96
  4. Step 4: Simplify right side
    267,782.40x = 54,297,644,185.27
  5. Step 5: Solve for x
    x = 54,297,644,185.27/267,782.40
  6. Step 6: Final answer
    x = 202,767.79

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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.