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Finding the Fourth Proportional to 188,701.80, 260,532.90 and 117,188.52

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Solution

The fourth proportional to 188,701.80, 260,532.90 and 117,188.52 is: 161,797.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,701.80 : 260,532.90 = 117,188.52 : x
  2. Step 2: Convert to fraction form
    188,701.80/260,532.90 = 117,188.52/x
  3. Step 3: Cross multiply
    188,701.80x = 260,532.90 × 117,188.52
  4. Step 4: Simplify right side
    188,701.80x = 30,531,464,962.31
  5. Step 5: Solve for x
    x = 30,531,464,962.31/188,701.80
  6. Step 6: Final answer
    x = 161,797.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.