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Finding the Fourth Proportional to 283,762.74, 425,644.11 and 96,775.86

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Solution

The fourth proportional to 283,762.74, 425,644.11 and 96,775.86 is: 145,163.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,762.74 : 425,644.11 = 96,775.86 : x
  2. Step 2: Convert to fraction form
    283,762.74/425,644.11 = 96,775.86/x
  3. Step 3: Cross multiply
    283,762.74x = 425,644.11 × 96,775.86
  4. Step 4: Simplify right side
    283,762.74x = 41,192,074,799.18
  5. Step 5: Solve for x
    x = 41,192,074,799.18/283,762.74
  6. Step 6: Final answer
    x = 145,163.79

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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.