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Finding the Fourth Proportional to 167,544.84, 250,956.54 and 78,665.16

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Solution

The fourth proportional to 167,544.84, 250,956.54 and 78,665.16 is: 117,828.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,544.84 : 250,956.54 = 78,665.16 : x
  2. Step 2: Convert to fraction form
    167,544.84/250,956.54 = 78,665.16/x
  3. Step 3: Cross multiply
    167,544.84x = 250,956.54 × 78,665.16
  4. Step 4: Simplify right side
    167,544.84x = 19,741,536,372.15
  5. Step 5: Solve for x
    x = 19,741,536,372.15/167,544.84
  6. Step 6: Final answer
    x = 117,828.38

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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.