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Finding the Fourth Proportional to 188,043.76, 282,074.80 and 61,672.88

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Solution

The fourth proportional to 188,043.76, 282,074.80 and 61,672.88 is: 92,512.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,043.76 : 282,074.80 = 61,672.88 : x
  2. Step 2: Convert to fraction form
    188,043.76/282,074.80 = 61,672.88/x
  3. Step 3: Cross multiply
    188,043.76x = 282,074.80 × 61,672.88
  4. Step 4: Simplify right side
    188,043.76x = 17,396,365,291.42
  5. Step 5: Solve for x
    x = 17,396,365,291.42/188,043.76
  6. Step 6: Final answer
    x = 92,512.32

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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.