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Finding the Fourth Proportional to 283,807.85, 425,713.47 and 84,129.94

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Solution

The fourth proportional to 283,807.85, 425,713.47 and 84,129.94 is: 126,195.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,807.85 : 425,713.47 = 84,129.94 : x
  2. Step 2: Convert to fraction form
    283,807.85/425,713.47 = 84,129.94/x
  3. Step 3: Cross multiply
    283,807.85x = 425,713.47 × 84,129.94
  4. Step 4: Simplify right side
    283,807.85x = 35,815,249,378.18
  5. Step 5: Solve for x
    x = 35,815,249,378.18/283,807.85
  6. Step 6: Final answer
    x = 126,195.41

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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.