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Finding the Fourth Proportional to 283,756.72, 425,697.34 and 84,092.74

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Solution

The fourth proportional to 283,756.72, 425,697.34 and 84,092.74 is: 126,157.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,756.72 : 425,697.34 = 84,092.74 : x
  2. Step 2: Convert to fraction form
    283,756.72/425,697.34 = 84,092.74/x
  3. Step 3: Cross multiply
    283,756.72x = 425,697.34 × 84,092.74
  4. Step 4: Simplify right side
    283,756.72x = 35,798,055,731.31
  5. Step 5: Solve for x
    x = 35,798,055,731.31/283,756.72
  6. Step 6: Final answer
    x = 126,157.56

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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.