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Finding the Fourth Proportional to 283,754.88, 425,336.40 and 106,184.52

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Solution

The fourth proportional to 283,754.88, 425,336.40 and 106,184.52 is: 159,166.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,754.88 : 425,336.40 = 106,184.52 : x
  2. Step 2: Convert to fraction form
    283,754.88/425,336.40 = 106,184.52/x
  3. Step 3: Cross multiply
    283,754.88x = 425,336.40 × 106,184.52
  4. Step 4: Simplify right side
    283,754.88x = 45,164,141,472.53
  5. Step 5: Solve for x
    x = 45,164,141,472.53/283,754.88
  6. Step 6: Final answer
    x = 159,166.04

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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.