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Finding the Fourth Proportional to 160,714.24, 221,788.67 and 88,112.32

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Solution

The fourth proportional to 160,714.24, 221,788.67 and 88,112.32 is: 121,596.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,714.24 : 221,788.67 = 88,112.32 : x
  2. Step 2: Convert to fraction form
    160,714.24/221,788.67 = 88,112.32/x
  3. Step 3: Cross multiply
    160,714.24x = 221,788.67 × 88,112.32
  4. Step 4: Simplify right side
    160,714.24x = 19,542,313,268.38
  5. Step 5: Solve for x
    x = 19,542,313,268.38/160,714.24
  6. Step 6: Final answer
    x = 121,596.65

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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.