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Finding the Fourth Proportional to 204,825.39, 307,026.98 and 78,431.10

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Solution

The fourth proportional to 204,825.39, 307,026.98 and 78,431.10 is: 117,565.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,825.39 : 307,026.98 = 78,431.10 : x
  2. Step 2: Convert to fraction form
    204,825.39/307,026.98 = 78,431.10/x
  3. Step 3: Cross multiply
    204,825.39x = 307,026.98 × 78,431.10
  4. Step 4: Simplify right side
    204,825.39x = 24,080,463,378.92
  5. Step 5: Solve for x
    x = 24,080,463,378.92/204,825.39
  6. Step 6: Final answer
    x = 117,565.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.