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Finding the Fourth Proportional to 283,670, 425,577.92 and 106,179.56

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Solution

The fourth proportional to 283,670, 425,577.92 and 106,179.56 is: 159,296.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,670 : 425,577.92 = 106,179.56 : x
  2. Step 2: Convert to fraction form
    283,670/425,577.92 = 106,179.56/x
  3. Step 3: Cross multiply
    283,670x = 425,577.92 × 106,179.56
  4. Step 4: Simplify right side
    283,670x = 45,187,676,291.32
  5. Step 5: Solve for x
    x = 45,187,676,291.32/283,670
  6. Step 6: Final answer
    x = 159,296.63

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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.