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Finding the Fourth Proportional to 283,796.42, 425,497.78 and 150,770.10

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Solution

The fourth proportional to 283,796.42, 425,497.78 and 150,770.10 is: 226,050.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,796.42 : 425,497.78 = 150,770.10 : x
  2. Step 2: Convert to fraction form
    283,796.42/425,497.78 = 150,770.10/x
  3. Step 3: Cross multiply
    283,796.42x = 425,497.78 × 150,770.10
  4. Step 4: Simplify right side
    283,796.42x = 64,152,342,840.38
  5. Step 5: Solve for x
    x = 64,152,342,840.38/283,796.42
  6. Step 6: Final answer
    x = 226,050.57

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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.