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Finding the Fourth Proportional to 283,952, 425,803.26 and 106,334.44

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Solution

The fourth proportional to 283,952, 425,803.26 and 106,334.44 is: 159,454.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,952 : 425,803.26 = 106,334.44 : x
  2. Step 2: Convert to fraction form
    283,952/425,803.26 = 106,334.44/x
  3. Step 3: Cross multiply
    283,952x = 425,803.26 × 106,334.44
  4. Step 4: Simplify right side
    283,952x = 45,277,551,202.27
  5. Step 5: Solve for x
    x = 45,277,551,202.27/283,952
  6. Step 6: Final answer
    x = 159,454.95

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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.