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Finding the Fourth Proportional to 400,745.88, 601,158.92 and 148,092.71

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Solution

The fourth proportional to 400,745.88, 601,158.92 and 148,092.71 is: 222,153.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,745.88 : 601,158.92 = 148,092.71 : x
  2. Step 2: Convert to fraction form
    400,745.88/601,158.92 = 148,092.71/x
  3. Step 3: Cross multiply
    400,745.88x = 601,158.92 × 148,092.71
  4. Step 4: Simplify right side
    400,745.88x = 89,027,249,857.22
  5. Step 5: Solve for x
    x = 89,027,249,857.22/400,745.88
  6. Step 6: Final answer
    x = 222,153.87

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Why These Related Problems?

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