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Finding the Fourth Proportional to 188,199.60, 282,342.68 and 55,076.72

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Solution

The fourth proportional to 188,199.60, 282,342.68 and 55,076.72 is: 82,627.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,199.60 : 282,342.68 = 55,076.72 : x
  2. Step 2: Convert to fraction form
    188,199.60/282,342.68 = 55,076.72/x
  3. Step 3: Cross multiply
    188,199.60x = 282,342.68 × 55,076.72
  4. Step 4: Simplify right side
    188,199.60x = 15,550,508,730.41
  5. Step 5: Solve for x
    x = 15,550,508,730.41/188,199.60
  6. Step 6: Final answer
    x = 82,627.75

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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.