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Finding the Fourth Proportional to 205,235.21, 307,863.20 and 78,831.14

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Solution

The fourth proportional to 205,235.21, 307,863.20 and 78,831.14 is: 118,250.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,235.21 : 307,863.20 = 78,831.14 : x
  2. Step 2: Convert to fraction form
    205,235.21/307,863.20 = 78,831.14/x
  3. Step 3: Cross multiply
    205,235.21x = 307,863.20 × 78,831.14
  4. Step 4: Simplify right side
    205,235.21x = 24,269,207,020.05
  5. Step 5: Solve for x
    x = 24,269,207,020.05/205,235.21
  6. Step 6: Final answer
    x = 118,250.70

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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.