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Finding the Fourth Proportional to 283,548.54, 425,322.81 and 83,853.37

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Solution

The fourth proportional to 283,548.54, 425,322.81 and 83,853.37 is: 125,780.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,548.54 : 425,322.81 = 83,853.37 : x
  2. Step 2: Convert to fraction form
    283,548.54/425,322.81 = 83,853.37/x
  3. Step 3: Cross multiply
    283,548.54x = 425,322.81 × 83,853.37
  4. Step 4: Simplify right side
    283,548.54x = 35,664,749,893.06
  5. Step 5: Solve for x
    x = 35,664,749,893.06/283,548.54
  6. Step 6: Final answer
    x = 125,780.05

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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.