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Finding the Fourth Proportional to 160,832.68, 221,950.50 and 89,218.60

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Solution

The fourth proportional to 160,832.68, 221,950.50 and 89,218.60 is: 123,122.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,832.68 : 221,950.50 = 89,218.60 : x
  2. Step 2: Convert to fraction form
    160,832.68/221,950.50 = 89,218.60/x
  3. Step 3: Cross multiply
    160,832.68x = 221,950.50 × 89,218.60
  4. Step 4: Simplify right side
    160,832.68x = 19,802,112,879.30
  5. Step 5: Solve for x
    x = 19,802,112,879.30/160,832.68
  6. Step 6: Final answer
    x = 123,122.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.