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Finding the Fourth Proportional to 119,314.92, 178,958.91 and 30,569.10

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Solution

The fourth proportional to 119,314.92, 178,958.91 and 30,569.10 is: 45,850.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,314.92 : 178,958.91 = 30,569.10 : x
  2. Step 2: Convert to fraction form
    119,314.92/178,958.91 = 30,569.10/x
  3. Step 3: Cross multiply
    119,314.92x = 178,958.91 × 30,569.10
  4. Step 4: Simplify right side
    119,314.92x = 5,470,612,815.68
  5. Step 5: Solve for x
    x = 5,470,612,815.68/119,314.92
  6. Step 6: Final answer
    x = 45,850.20

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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.