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Finding the Fourth Proportional to 119,100.52, 178,573.02 and 47,976.04

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Solution

The fourth proportional to 119,100.52, 178,573.02 and 47,976.04 is: 71,932.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,100.52 : 178,573.02 = 47,976.04 : x
  2. Step 2: Convert to fraction form
    119,100.52/178,573.02 = 47,976.04/x
  3. Step 3: Cross multiply
    119,100.52x = 178,573.02 × 47,976.04
  4. Step 4: Simplify right side
    119,100.52x = 8,567,226,350.44
  5. Step 5: Solve for x
    x = 8,567,226,350.44/119,100.52
  6. Step 6: Final answer
    x = 71,932.74

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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.