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Finding the Fourth Proportional to 264,448.66, 364,935.41 and 149,724.34

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Solution

The fourth proportional to 264,448.66, 364,935.41 and 149,724.34 is: 206,617.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,448.66 : 364,935.41 = 149,724.34 : x
  2. Step 2: Convert to fraction form
    264,448.66/364,935.41 = 149,724.34/x
  3. Step 3: Cross multiply
    264,448.66x = 364,935.41 × 149,724.34
  4. Step 4: Simplify right side
    264,448.66x = 54,639,713,404.88
  5. Step 5: Solve for x
    x = 54,639,713,404.88/264,448.66
  6. Step 6: Final answer
    x = 206,617.47

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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.