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Finding the Fourth Proportional to 283,744.80, 425,422.80 and 134,056.80

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Solution

The fourth proportional to 283,744.80, 425,422.80 and 134,056.80 is: 200,993.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,744.80 : 425,422.80 = 134,056.80 : x
  2. Step 2: Convert to fraction form
    283,744.80/425,422.80 = 134,056.80/x
  3. Step 3: Cross multiply
    283,744.80x = 425,422.80 × 134,056.80
  4. Step 4: Simplify right side
    283,744.80x = 57,030,819,215.04
  5. Step 5: Solve for x
    x = 57,030,819,215.04/283,744.80
  6. Step 6: Final answer
    x = 200,993.35

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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.