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Finding the Fourth Proportional to 131,159.44, 196,740.78 and 37,666

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Solution

The fourth proportional to 131,159.44, 196,740.78 and 37,666 is: 56,499.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,159.44 : 196,740.78 = 37,666 : x
  2. Step 2: Convert to fraction form
    131,159.44/196,740.78 = 37,666/x
  3. Step 3: Cross multiply
    131,159.44x = 196,740.78 × 37,666
  4. Step 4: Simplify right side
    131,159.44x = 7,410,438,219.48
  5. Step 5: Solve for x
    x = 7,410,438,219.48/131,159.44
  6. Step 6: Final answer
    x = 56,499.47

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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.