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Finding the Fourth Proportional to 164,507.78, 246,863.73 and 75,773.90

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Solution

The fourth proportional to 164,507.78, 246,863.73 and 75,773.90 is: 113,707.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,507.78 : 246,863.73 = 75,773.90 : x
  2. Step 2: Convert to fraction form
    164,507.78/246,863.73 = 75,773.90/x
  3. Step 3: Cross multiply
    164,507.78x = 246,863.73 × 75,773.90
  4. Step 4: Simplify right side
    164,507.78x = 18,705,827,590.65
  5. Step 5: Solve for x
    x = 18,705,827,590.65/164,507.78
  6. Step 6: Final answer
    x = 113,707.86

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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.