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Finding the Fourth Proportional to 123,898.92, 185,855.44 and 35,145.48

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Solution

The fourth proportional to 123,898.92, 185,855.44 and 35,145.48 is: 52,720.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,898.92 : 185,855.44 = 35,145.48 : x
  2. Step 2: Convert to fraction form
    123,898.92/185,855.44 = 35,145.48/x
  3. Step 3: Cross multiply
    123,898.92x = 185,855.44 × 35,145.48
  4. Step 4: Simplify right side
    123,898.92x = 6,531,978,649.41
  5. Step 5: Solve for x
    x = 6,531,978,649.41/123,898.92
  6. Step 6: Final answer
    x = 52,720.22

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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.