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Finding the Fourth Proportional to 116,881.82, 161,323.75 and 71,584.77

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Solution

The fourth proportional to 116,881.82, 161,323.75 and 71,584.77 is: 98,803.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,881.82 : 161,323.75 = 71,584.77 : x
  2. Step 2: Convert to fraction form
    116,881.82/161,323.75 = 71,584.77/x
  3. Step 3: Cross multiply
    116,881.82x = 161,323.75 × 71,584.77
  4. Step 4: Simplify right side
    116,881.82x = 11,548,322,755.36
  5. Step 5: Solve for x
    x = 11,548,322,755.36/116,881.82
  6. Step 6: Final answer
    x = 98,803.41

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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.