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Finding the Fourth Proportional to 165,937.95, 248,905.31 and 47,609.91

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Solution

The fourth proportional to 165,937.95, 248,905.31 and 47,609.91 is: 71,414.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,937.95 : 248,905.31 = 47,609.91 : x
  2. Step 2: Convert to fraction form
    165,937.95/248,905.31 = 47,609.91/x
  3. Step 3: Cross multiply
    165,937.95x = 248,905.31 × 47,609.91
  4. Step 4: Simplify right side
    165,937.95x = 11,850,359,169.57
  5. Step 5: Solve for x
    x = 11,850,359,169.57/165,937.95
  6. Step 6: Final answer
    x = 71,414.40

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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.