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Finding the Fourth Proportional to 270,095.92, 404,115.92 and 163,086

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Solution

The fourth proportional to 270,095.92, 404,115.92 and 163,086 is: 244,008.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,095.92 : 404,115.92 = 163,086 : x
  2. Step 2: Convert to fraction form
    270,095.92/404,115.92 = 163,086/x
  3. Step 3: Cross multiply
    270,095.92x = 404,115.92 × 163,086
  4. Step 4: Simplify right side
    270,095.92x = 65,905,648,929.12
  5. Step 5: Solve for x
    x = 65,905,648,929.12/270,095.92
  6. Step 6: Final answer
    x = 244,008.31

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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.