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Finding the Fourth Proportional to 119,171.76, 178,782.24 and 34,934.68

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Solution

The fourth proportional to 119,171.76, 178,782.24 and 34,934.68 is: 52,409.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,171.76 : 178,782.24 = 34,934.68 : x
  2. Step 2: Convert to fraction form
    119,171.76/178,782.24 = 34,934.68/x
  3. Step 3: Cross multiply
    119,171.76x = 178,782.24 × 34,934.68
  4. Step 4: Simplify right side
    119,171.76x = 6,245,700,344.08
  5. Step 5: Solve for x
    x = 6,245,700,344.08/119,171.76
  6. Step 6: Final answer
    x = 52,409.23

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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.