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Finding the Fourth Proportional to 167,857.43, 251,527.64 and 77,844.75

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Solution

The fourth proportional to 167,857.43, 251,527.64 and 77,844.75 is: 116,647.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,857.43 : 251,527.64 = 77,844.75 : x
  2. Step 2: Convert to fraction form
    167,857.43/251,527.64 = 77,844.75/x
  3. Step 3: Cross multiply
    167,857.43x = 251,527.64 × 77,844.75
  4. Step 4: Simplify right side
    167,857.43x = 19,580,105,864.67
  5. Step 5: Solve for x
    x = 19,580,105,864.67/167,857.43
  6. Step 6: Final answer
    x = 116,647.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.