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Finding the Fourth Proportional to 104,295.96, 156,465.72 and 34,169.76

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Solution

The fourth proportional to 104,295.96, 156,465.72 and 34,169.76 is: 51,261.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,295.96 : 156,465.72 = 34,169.76 : x
  2. Step 2: Convert to fraction form
    104,295.96/156,465.72 = 34,169.76/x
  3. Step 3: Cross multiply
    104,295.96x = 156,465.72 × 34,169.76
  4. Step 4: Simplify right side
    104,295.96x = 5,346,396,100.63
  5. Step 5: Solve for x
    x = 5,346,396,100.63/104,295.96
  6. Step 6: Final answer
    x = 51,261.78

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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.