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Finding the Fourth Proportional to 283,963.25, 425,820.58 and 106,345.71

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Solution

The fourth proportional to 283,963.25, 425,820.58 and 106,345.71 is: 159,472.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,963.25 : 425,820.58 = 106,345.71 : x
  2. Step 2: Convert to fraction form
    283,963.25/425,820.58 = 106,345.71/x
  3. Step 3: Cross multiply
    283,963.25x = 425,820.58 × 106,345.71
  4. Step 4: Simplify right side
    283,963.25x = 45,284,191,646.85
  5. Step 5: Solve for x
    x = 45,284,191,646.85/283,963.25
  6. Step 6: Final answer
    x = 159,472.01

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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.