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Finding the Fourth Proportional to 283,538.45, 425,293.54 and 106,032.41

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Solution

The fourth proportional to 283,538.45, 425,293.54 and 106,032.41 is: 159,043.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,538.45 : 425,293.54 = 106,032.41 : x
  2. Step 2: Convert to fraction form
    283,538.45/425,293.54 = 106,032.41/x
  3. Step 3: Cross multiply
    283,538.45x = 425,293.54 × 106,032.41
  4. Step 4: Simplify right side
    283,538.45x = 45,094,899,003.63
  5. Step 5: Solve for x
    x = 45,094,899,003.63/283,538.45
  6. Step 6: Final answer
    x = 159,043.33

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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.