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Finding the Fourth Proportional to 207,690.78, 311,558.04 and 102,408.60

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Solution

The fourth proportional to 207,690.78, 311,558.04 and 102,408.60 is: 153,623.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,690.78 : 311,558.04 = 102,408.60 : x
  2. Step 2: Convert to fraction form
    207,690.78/311,558.04 = 102,408.60/x
  3. Step 3: Cross multiply
    207,690.78x = 311,558.04 × 102,408.60
  4. Step 4: Simplify right side
    207,690.78x = 31,906,222,695.14
  5. Step 5: Solve for x
    x = 31,906,222,695.14/207,690.78
  6. Step 6: Final answer
    x = 153,623.68

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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.