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Finding the Fourth Proportional to 123,548.14, 185,194.90 and 48,637.90

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Solution

The fourth proportional to 123,548.14, 185,194.90 and 48,637.90 is: 72,906.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,548.14 : 185,194.90 = 48,637.90 : x
  2. Step 2: Convert to fraction form
    123,548.14/185,194.90 = 48,637.90/x
  3. Step 3: Cross multiply
    123,548.14x = 185,194.90 × 48,637.90
  4. Step 4: Simplify right side
    123,548.14x = 9,007,491,026.71
  5. Step 5: Solve for x
    x = 9,007,491,026.71/123,548.14
  6. Step 6: Final answer
    x = 72,906.73

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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.