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Finding the Fourth Proportional to 283,875.46, 425,796.48 and 106,367.60

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Solution

The fourth proportional to 283,875.46, 425,796.48 and 106,367.60 is: 159,545.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,875.46 : 425,796.48 = 106,367.60 : x
  2. Step 2: Convert to fraction form
    283,875.46/425,796.48 = 106,367.60/x
  3. Step 3: Cross multiply
    283,875.46x = 425,796.48 × 106,367.60
  4. Step 4: Simplify right side
    283,875.46x = 45,290,950,730.54
  5. Step 5: Solve for x
    x = 45,290,950,730.54/283,875.46
  6. Step 6: Final answer
    x = 159,545.14

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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.