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Finding the Fourth Proportional to 290,038.22, 400,246.71 and 160,969.20

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Solution

The fourth proportional to 290,038.22, 400,246.71 and 160,969.20 is: 222,134.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,038.22 : 400,246.71 = 160,969.20 : x
  2. Step 2: Convert to fraction form
    290,038.22/400,246.71 = 160,969.20/x
  3. Step 3: Cross multiply
    290,038.22x = 400,246.71 × 160,969.20
  4. Step 4: Simplify right side
    290,038.22x = 64,427,392,711.33
  5. Step 5: Solve for x
    x = 64,427,392,711.33/290,038.22
  6. Step 6: Final answer
    x = 222,134.15

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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.