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Finding the Fourth Proportional to 542,712.91, 814,108.56 and 143,348.48

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Solution

The fourth proportional to 542,712.91, 814,108.56 and 143,348.48 is: 215,033.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,712.91 : 814,108.56 = 143,348.48 : x
  2. Step 2: Convert to fraction form
    542,712.91/814,108.56 = 143,348.48/x
  3. Step 3: Cross multiply
    542,712.91x = 814,108.56 × 143,348.48
  4. Step 4: Simplify right side
    542,712.91x = 116,701,227,655.16
  5. Step 5: Solve for x
    x = 116,701,227,655.16/542,712.91
  6. Step 6: Final answer
    x = 215,033.08

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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.