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Finding the Fourth Proportional to 289,987.56, 400,182 and 160,945.52

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Solution

The fourth proportional to 289,987.56, 400,182 and 160,945.52 is: 222,104.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,987.56 : 400,182 = 160,945.52 : x
  2. Step 2: Convert to fraction form
    289,987.56/400,182 = 160,945.52/x
  3. Step 3: Cross multiply
    289,987.56x = 400,182 × 160,945.52
  4. Step 4: Simplify right side
    289,987.56x = 64,407,500,084.64
  5. Step 5: Solve for x
    x = 64,407,500,084.64/289,987.56
  6. Step 6: Final answer
    x = 222,104.36

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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.