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Finding the Fourth Proportional to 114,696.90, 171,961.47 and 77,163.66

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Solution

The fourth proportional to 114,696.90, 171,961.47 and 77,163.66 is: 115,689.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,696.90 : 171,961.47 = 77,163.66 : x
  2. Step 2: Convert to fraction form
    114,696.90/171,961.47 = 77,163.66/x
  3. Step 3: Cross multiply
    114,696.90x = 171,961.47 × 77,163.66
  4. Step 4: Simplify right side
    114,696.90x = 13,269,176,404.18
  5. Step 5: Solve for x
    x = 13,269,176,404.18/114,696.90
  6. Step 6: Final answer
    x = 115,689.06

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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.