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Finding the Fourth Proportional to 123,493.74, 185,150.70 and 39,226.20

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Solution

The fourth proportional to 123,493.74, 185,150.70 and 39,226.20 is: 58,810.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,493.74 : 185,150.70 = 39,226.20 : x
  2. Step 2: Convert to fraction form
    123,493.74/185,150.70 = 39,226.20/x
  3. Step 3: Cross multiply
    123,493.74x = 185,150.70 × 39,226.20
  4. Step 4: Simplify right side
    123,493.74x = 7,262,758,388.34
  5. Step 5: Solve for x
    x = 7,262,758,388.34/123,493.74
  6. Step 6: Final answer
    x = 58,810.74

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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.