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Finding the Fourth Proportional to 175,850.76, 263,776.48 and 42,731.14

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Solution

The fourth proportional to 175,850.76, 263,776.48 and 42,731.14 is: 64,096.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,850.76 : 263,776.48 = 42,731.14 : x
  2. Step 2: Convert to fraction form
    175,850.76/263,776.48 = 42,731.14/x
  3. Step 3: Cross multiply
    175,850.76x = 263,776.48 × 42,731.14
  4. Step 4: Simplify right side
    175,850.76x = 11,271,469,695.59
  5. Step 5: Solve for x
    x = 11,271,469,695.59/175,850.76
  6. Step 6: Final answer
    x = 64,096.79

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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.