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Finding the Fourth Proportional to 188,057.77, 280,132.10 and 177,871.62

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Solution

The fourth proportional to 188,057.77, 280,132.10 and 177,871.62 is: 264,958.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,057.77 : 280,132.10 = 177,871.62 : x
  2. Step 2: Convert to fraction form
    188,057.77/280,132.10 = 177,871.62/x
  3. Step 3: Cross multiply
    188,057.77x = 280,132.10 × 177,871.62
  4. Step 4: Simplify right side
    188,057.77x = 49,827,549,168.17
  5. Step 5: Solve for x
    x = 49,827,549,168.17/188,057.77
  6. Step 6: Final answer
    x = 264,958.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.