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Finding the Fourth Proportional to 119,295.82, 178,939.05 and 40,410.04

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Solution

The fourth proportional to 119,295.82, 178,939.05 and 40,410.04 is: 60,613.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,295.82 : 178,939.05 = 40,410.04 : x
  2. Step 2: Convert to fraction form
    119,295.82/178,939.05 = 40,410.04/x
  3. Step 3: Cross multiply
    119,295.82x = 178,939.05 × 40,410.04
  4. Step 4: Simplify right side
    119,295.82x = 7,230,934,168.06
  5. Step 5: Solve for x
    x = 7,230,934,168.06/119,295.82
  6. Step 6: Final answer
    x = 60,613.47

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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.