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Finding the Fourth Proportional to 165,342.32, 247,968.42 and 45,370.82

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Solution

The fourth proportional to 165,342.32, 247,968.42 and 45,370.82 is: 68,043.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,342.32 : 247,968.42 = 45,370.82 : x
  2. Step 2: Convert to fraction form
    165,342.32/247,968.42 = 45,370.82/x
  3. Step 3: Cross multiply
    165,342.32x = 247,968.42 × 45,370.82
  4. Step 4: Simplify right side
    165,342.32x = 11,250,529,082.81
  5. Step 5: Solve for x
    x = 11,250,529,082.81/165,342.32
  6. Step 6: Final answer
    x = 68,043.86

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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.