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Finding the Fourth Proportional to 210,923.52, 290,719.44 and 159,919.44

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Solution

The fourth proportional to 210,923.52, 290,719.44 and 159,919.44 is: 220,419.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,923.52 : 290,719.44 = 159,919.44 : x
  2. Step 2: Convert to fraction form
    210,923.52/290,719.44 = 159,919.44/x
  3. Step 3: Cross multiply
    210,923.52x = 290,719.44 × 159,919.44
  4. Step 4: Simplify right side
    210,923.52x = 46,491,690,041.91
  5. Step 5: Solve for x
    x = 46,491,690,041.91/210,923.52
  6. Step 6: Final answer
    x = 220,419.66

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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.