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Finding the Fourth Proportional to 119,229.94, 178,844.28 and 30,483.28

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Solution

The fourth proportional to 119,229.94, 178,844.28 and 30,483.28 is: 45,724.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,229.94 : 178,844.28 = 30,483.28 : x
  2. Step 2: Convert to fraction form
    119,229.94/178,844.28 = 30,483.28/x
  3. Step 3: Cross multiply
    119,229.94x = 178,844.28 × 30,483.28
  4. Step 4: Simplify right side
    119,229.94x = 5,451,760,263.64
  5. Step 5: Solve for x
    x = 5,451,760,263.64/119,229.94
  6. Step 6: Final answer
    x = 45,724.76

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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.