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Finding the Fourth Proportional to 160,881.83, 222,020.31 and 88,284.08

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Solution

The fourth proportional to 160,881.83, 222,020.31 and 88,284.08 is: 121,833.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,881.83 : 222,020.31 = 88,284.08 : x
  2. Step 2: Convert to fraction form
    160,881.83/222,020.31 = 88,284.08/x
  3. Step 3: Cross multiply
    160,881.83x = 222,020.31 × 88,284.08
  4. Step 4: Simplify right side
    160,881.83x = 19,600,858,809.66
  5. Step 5: Solve for x
    x = 19,600,858,809.66/160,881.83
  6. Step 6: Final answer
    x = 121,833.89

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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.