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Finding the Fourth Proportional to 257,933.76, 386,977.50 and 123,099.12

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Solution

The fourth proportional to 257,933.76, 386,977.50 and 123,099.12 is: 184,685.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,933.76 : 386,977.50 = 123,099.12 : x
  2. Step 2: Convert to fraction form
    257,933.76/386,977.50 = 123,099.12/x
  3. Step 3: Cross multiply
    257,933.76x = 386,977.50 × 123,099.12
  4. Step 4: Simplify right side
    257,933.76x = 47,636,589,709.80
  5. Step 5: Solve for x
    x = 47,636,589,709.80/257,933.76
  6. Step 6: Final answer
    x = 184,685.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.