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Finding the Fourth Proportional to 114,493.88, 157,971.66 and 66,083.96

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Solution

The fourth proportional to 114,493.88, 157,971.66 and 66,083.96 is: 91,178.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,493.88 : 157,971.66 = 66,083.96 : x
  2. Step 2: Convert to fraction form
    114,493.88/157,971.66 = 66,083.96/x
  3. Step 3: Cross multiply
    114,493.88x = 157,971.66 × 66,083.96
  4. Step 4: Simplify right side
    114,493.88x = 10,439,392,860.57
  5. Step 5: Solve for x
    x = 10,439,392,860.57/114,493.88
  6. Step 6: Final answer
    x = 91,178.61

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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.