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Finding the Fourth Proportional to 187,097.60, 280,846.22 and 80,534.34

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Solution

The fourth proportional to 187,097.60, 280,846.22 and 80,534.34 is: 120,887.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,097.60 : 280,846.22 = 80,534.34 : x
  2. Step 2: Convert to fraction form
    187,097.60/280,846.22 = 80,534.34/x
  3. Step 3: Cross multiply
    187,097.60x = 280,846.22 × 80,534.34
  4. Step 4: Simplify right side
    187,097.60x = 22,617,764,566.52
  5. Step 5: Solve for x
    x = 22,617,764,566.52/187,097.60
  6. Step 6: Final answer
    x = 120,887.52

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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.