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Finding the Fourth Proportional to 205,240.34, 307,906.68 and 72,129.80

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Solution

The fourth proportional to 205,240.34, 307,906.68 and 72,129.80 is: 108,210.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,240.34 : 307,906.68 = 72,129.80 : x
  2. Step 2: Convert to fraction form
    205,240.34/307,906.68 = 72,129.80/x
  3. Step 3: Cross multiply
    205,240.34x = 307,906.68 × 72,129.80
  4. Step 4: Simplify right side
    205,240.34x = 22,209,247,247.06
  5. Step 5: Solve for x
    x = 22,209,247,247.06/205,240.34
  6. Step 6: Final answer
    x = 108,210.93

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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.