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Finding the Fourth Proportional to 283,874.71, 425,795.35 and 106,366.86

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Solution

The fourth proportional to 283,874.71, 425,795.35 and 106,366.86 is: 159,544.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,874.71 : 425,795.35 = 106,366.86 : x
  2. Step 2: Convert to fraction form
    283,874.71/425,795.35 = 106,366.86/x
  3. Step 3: Cross multiply
    283,874.71x = 425,795.35 × 106,366.86
  4. Step 4: Simplify right side
    283,874.71x = 45,290,514,382.10
  5. Step 5: Solve for x
    x = 45,290,514,382.10/283,874.71
  6. Step 6: Final answer
    x = 159,544.03

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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.