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Finding the Fourth Proportional to 205,224.35, 307,867.31 and 72,081.14

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Solution

The fourth proportional to 205,224.35, 307,867.31 and 72,081.14 is: 108,132.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,224.35 : 307,867.31 = 72,081.14 : x
  2. Step 2: Convert to fraction form
    205,224.35/307,867.31 = 72,081.14/x
  3. Step 3: Cross multiply
    205,224.35x = 307,867.31 × 72,081.14
  4. Step 4: Simplify right side
    205,224.35x = 22,191,426,313.13
  5. Step 5: Solve for x
    x = 22,191,426,313.13/205,224.35
  6. Step 6: Final answer
    x = 108,132.52

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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.