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Finding the Fourth Proportional to 258,448.64, 356,606.82 and 150,997.91

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Solution

The fourth proportional to 258,448.64, 356,606.82 and 150,997.91 is: 208,346.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,448.64 : 356,606.82 = 150,997.91 : x
  2. Step 2: Convert to fraction form
    258,448.64/356,606.82 = 150,997.91/x
  3. Step 3: Cross multiply
    258,448.64x = 356,606.82 × 150,997.91
  4. Step 4: Simplify right side
    258,448.64x = 53,846,882,728.71
  5. Step 5: Solve for x
    x = 53,846,882,728.71/258,448.64
  6. Step 6: Final answer
    x = 208,346.55

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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.