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Finding the Fourth Proportional to 119,045.92, 178,569.94 and 30,299.52

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Solution

The fourth proportional to 119,045.92, 178,569.94 and 30,299.52 is: 45,449.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,045.92 : 178,569.94 = 30,299.52 : x
  2. Step 2: Convert to fraction form
    119,045.92/178,569.94 = 30,299.52/x
  3. Step 3: Cross multiply
    119,045.92x = 178,569.94 × 30,299.52
  4. Step 4: Simplify right side
    119,045.92x = 5,410,583,468.43
  5. Step 5: Solve for x
    x = 5,410,583,468.43/119,045.92
  6. Step 6: Final answer
    x = 45,449.55

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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.