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Finding the Fourth Proportional to 270,097.92, 404,118.92 and 163,088

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Solution

The fourth proportional to 270,097.92, 404,118.92 and 163,088 is: 244,011.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,097.92 : 404,118.92 = 163,088 : x
  2. Step 2: Convert to fraction form
    270,097.92/404,118.92 = 163,088/x
  3. Step 3: Cross multiply
    270,097.92x = 404,118.92 × 163,088
  4. Step 4: Simplify right side
    270,097.92x = 65,906,946,424.96
  5. Step 5: Solve for x
    x = 65,906,946,424.96/270,097.92
  6. Step 6: Final answer
    x = 244,011.31

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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.