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Finding the Fourth Proportional to 119,289.92, 178,964.17 and 59,346.68

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Solution

The fourth proportional to 119,289.92, 178,964.17 and 59,346.68 is: 89,034.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,289.92 : 178,964.17 = 59,346.68 : x
  2. Step 2: Convert to fraction form
    119,289.92/178,964.17 = 59,346.68/x
  3. Step 3: Cross multiply
    119,289.92x = 178,964.17 × 59,346.68
  4. Step 4: Simplify right side
    119,289.92x = 10,620,928,285.27
  5. Step 5: Solve for x
    x = 10,620,928,285.27/119,289.92
  6. Step 6: Final answer
    x = 89,034.59

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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.