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Finding the Fourth Proportional to 119,371.86, 178,900.83 and 49,212.18

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Solution

The fourth proportional to 119,371.86, 178,900.83 and 49,212.18 is: 73,753.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,371.86 : 178,900.83 = 49,212.18 : x
  2. Step 2: Convert to fraction form
    119,371.86/178,900.83 = 49,212.18/x
  3. Step 3: Cross multiply
    119,371.86x = 178,900.83 × 49,212.18
  4. Step 4: Simplify right side
    119,371.86x = 8,804,099,848.11
  5. Step 5: Solve for x
    x = 8,804,099,848.11/119,371.86
  6. Step 6: Final answer
    x = 73,753.56

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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.