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Finding the Fourth Proportional to 270,048.57, 404,822.46 and 92,513.40

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Solution

The fourth proportional to 270,048.57, 404,822.46 and 92,513.40 is: 138,684.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,048.57 : 404,822.46 = 92,513.40 : x
  2. Step 2: Convert to fraction form
    270,048.57/404,822.46 = 92,513.40/x
  3. Step 3: Cross multiply
    270,048.57x = 404,822.46 × 92,513.40
  4. Step 4: Simplify right side
    270,048.57x = 37,451,502,170.96
  5. Step 5: Solve for x
    x = 37,451,502,170.96/270,048.57
  6. Step 6: Final answer
    x = 138,684.32

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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.