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Finding the Fourth Proportional to 270,046.20, 404,745.30 and 112,193.40

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Solution

The fourth proportional to 270,046.20, 404,745.30 and 112,193.40 is: 168,155.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,046.20 : 404,745.30 = 112,193.40 : x
  2. Step 2: Convert to fraction form
    270,046.20/404,745.30 = 112,193.40/x
  3. Step 3: Cross multiply
    270,046.20x = 404,745.30 × 112,193.40
  4. Step 4: Simplify right side
    270,046.20x = 45,409,751,341.02
  5. Step 5: Solve for x
    x = 45,409,751,341.02/270,046.20
  6. Step 6: Final answer
    x = 168,155.49

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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.