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Finding the Fourth Proportional to 160,617.36, 221,653.44 and 88,998.24

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Solution

The fourth proportional to 160,617.36, 221,653.44 and 88,998.24 is: 122,818.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,617.36 : 221,653.44 = 88,998.24 : x
  2. Step 2: Convert to fraction form
    160,617.36/221,653.44 = 88,998.24/x
  3. Step 3: Cross multiply
    160,617.36x = 221,653.44 × 88,998.24
  4. Step 4: Simplify right side
    160,617.36x = 19,726,766,049.95
  5. Step 5: Solve for x
    x = 19,726,766,049.95/160,617.36
  6. Step 6: Final answer
    x = 122,818.39

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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.