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Finding the Fourth Proportional to 199,539.76, 299,080.20 and 87,193.84

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Solution

The fourth proportional to 199,539.76, 299,080.20 and 87,193.84 is: 130,690.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,539.76 : 299,080.20 = 87,193.84 : x
  2. Step 2: Convert to fraction form
    199,539.76/299,080.20 = 87,193.84/x
  3. Step 3: Cross multiply
    199,539.76x = 299,080.20 × 87,193.84
  4. Step 4: Simplify right side
    199,539.76x = 26,077,951,105.97
  5. Step 5: Solve for x
    x = 26,077,951,105.97/199,539.76
  6. Step 6: Final answer
    x = 130,690.50

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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.