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Finding the Fourth Proportional to 400,103, 600,160.26 and 104,615

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Solution

The fourth proportional to 400,103, 600,160.26 and 104,615 is: 156,924.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,103 : 600,160.26 = 104,615 : x
  2. Step 2: Convert to fraction form
    400,103/600,160.26 = 104,615/x
  3. Step 3: Cross multiply
    400,103x = 600,160.26 × 104,615
  4. Step 4: Simplify right side
    400,103x = 62,785,765,599.90
  5. Step 5: Solve for x
    x = 62,785,765,599.90/400,103
  6. Step 6: Final answer
    x = 156,924.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.