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Finding the Fourth Proportional to 160,295.44, 240,491.30 and 47,979.32

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Solution

The fourth proportional to 160,295.44, 240,491.30 and 47,979.32 is: 71,983.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,295.44 : 240,491.30 = 47,979.32 : x
  2. Step 2: Convert to fraction form
    160,295.44/240,491.30 = 47,979.32/x
  3. Step 3: Cross multiply
    160,295.44x = 240,491.30 × 47,979.32
  4. Step 4: Simplify right side
    160,295.44x = 11,538,608,800.02
  5. Step 5: Solve for x
    x = 11,538,608,800.02/160,295.44
  6. Step 6: Final answer
    x = 71,983.39

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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.