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Finding the Fourth Proportional to 131,109.68, 196,671.90 and 37,613

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Solution

The fourth proportional to 131,109.68, 196,671.90 and 37,613 is: 56,421.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,109.68 : 196,671.90 = 37,613 : x
  2. Step 2: Convert to fraction form
    131,109.68/196,671.90 = 37,613/x
  3. Step 3: Cross multiply
    131,109.68x = 196,671.90 × 37,613
  4. Step 4: Simplify right side
    131,109.68x = 7,397,420,174.70
  5. Step 5: Solve for x
    x = 7,397,420,174.70/131,109.68
  6. Step 6: Final answer
    x = 56,421.62

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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.