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Finding the Fourth Proportional to 160,806.42, 221,923.53 and 89,189.46

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Solution

The fourth proportional to 160,806.42, 221,923.53 and 89,189.46 is: 123,087.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,806.42 : 221,923.53 = 89,189.46 : x
  2. Step 2: Convert to fraction form
    160,806.42/221,923.53 = 89,189.46/x
  3. Step 3: Cross multiply
    160,806.42x = 221,923.53 × 89,189.46
  4. Step 4: Simplify right side
    160,806.42x = 19,793,239,801.99
  5. Step 5: Solve for x
    x = 19,793,239,801.99/160,806.42
  6. Step 6: Final answer
    x = 123,087.37

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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.