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Finding the Fourth Proportional to 119,295, 178,943.58 and 36,189

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Solution

The fourth proportional to 119,295, 178,943.58 and 36,189 is: 54,283.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,295 : 178,943.58 = 36,189 : x
  2. Step 2: Convert to fraction form
    119,295/178,943.58 = 36,189/x
  3. Step 3: Cross multiply
    119,295x = 178,943.58 × 36,189
  4. Step 4: Simplify right side
    119,295x = 6,475,789,216.62
  5. Step 5: Solve for x
    x = 6,475,789,216.62/119,295
  6. Step 6: Final answer
    x = 54,283.83

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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.