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Finding the Fourth Proportional to 131,193.95, 196,758.11 and 37,699.70

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Solution

The fourth proportional to 131,193.95, 196,758.11 and 37,699.70 is: 56,540.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,193.95 : 196,758.11 = 37,699.70 : x
  2. Step 2: Convert to fraction form
    131,193.95/196,758.11 = 37,699.70/x
  3. Step 3: Cross multiply
    131,193.95x = 196,758.11 × 37,699.70
  4. Step 4: Simplify right side
    131,193.95x = 7,417,720,830.03
  5. Step 5: Solve for x
    x = 7,417,720,830.03/131,193.95
  6. Step 6: Final answer
    x = 56,540.12

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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.