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Finding the Fourth Proportional to 205,235.47, 307,863.57 and 78,831.40

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Solution

The fourth proportional to 205,235.47, 307,863.57 and 78,831.40 is: 118,251.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,235.47 : 307,863.57 = 78,831.40 : x
  2. Step 2: Convert to fraction form
    205,235.47/307,863.57 = 78,831.40/x
  3. Step 3: Cross multiply
    205,235.47x = 307,863.57 × 78,831.40
  4. Step 4: Simplify right side
    205,235.47x = 24,269,314,692.78
  5. Step 5: Solve for x
    x = 24,269,314,692.78/205,235.47
  6. Step 6: Final answer
    x = 118,251.08

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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.