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Finding the Fourth Proportional to 265,614.43, 398,204.54 and 123,548.28

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Solution

The fourth proportional to 265,614.43, 398,204.54 and 123,548.28 is: 185,221.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,614.43 : 398,204.54 = 123,548.28 : x
  2. Step 2: Convert to fraction form
    265,614.43/398,204.54 = 123,548.28/x
  3. Step 3: Cross multiply
    265,614.43x = 398,204.54 × 123,548.28
  4. Step 4: Simplify right side
    265,614.43x = 49,197,486,005.19
  5. Step 5: Solve for x
    x = 49,197,486,005.19/265,614.43
  6. Step 6: Final answer
    x = 185,221.44

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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.