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Finding the Fourth Proportional to 160,077.82, 240,181.32 and 71,270.64

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Solution

The fourth proportional to 160,077.82, 240,181.32 and 71,270.64 is: 106,934.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,077.82 : 240,181.32 = 71,270.64 : x
  2. Step 2: Convert to fraction form
    160,077.82/240,181.32 = 71,270.64/x
  3. Step 3: Cross multiply
    160,077.82x = 240,181.32 × 71,270.64
  4. Step 4: Simplify right side
    160,077.82x = 17,117,876,392.44
  5. Step 5: Solve for x
    x = 17,117,876,392.44/160,077.82
  6. Step 6: Final answer
    x = 106,934.72

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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.