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Finding the Fourth Proportional to 117,838.67, 176,759.89 and 111,857.22

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Solution

The fourth proportional to 117,838.67, 176,759.89 and 111,857.22 is: 167,787.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,838.67 : 176,759.89 = 111,857.22 : x
  2. Step 2: Convert to fraction form
    117,838.67/176,759.89 = 111,857.22/x
  3. Step 3: Cross multiply
    117,838.67x = 176,759.89 × 111,857.22
  4. Step 4: Simplify right side
    117,838.67x = 19,771,869,623.26
  5. Step 5: Solve for x
    x = 19,771,869,623.26/117,838.67
  6. Step 6: Final answer
    x = 167,787.62

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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.