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Finding the Fourth Proportional to 188,928.80, 283,393.20 and 166,119.20

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Solution

The fourth proportional to 188,928.80, 283,393.20 and 166,119.20 is: 249,178.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,928.80 : 283,393.20 = 166,119.20 : x
  2. Step 2: Convert to fraction form
    188,928.80/283,393.20 = 166,119.20/x
  3. Step 3: Cross multiply
    188,928.80x = 283,393.20 × 166,119.20
  4. Step 4: Simplify right side
    188,928.80x = 47,077,051,669.44
  5. Step 5: Solve for x
    x = 47,077,051,669.44/188,928.80
  6. Step 6: Final answer
    x = 249,178.80

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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.