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Finding the Fourth Proportional to 225,451.50, 338,229.09 and 77,707.50

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Solution

The fourth proportional to 225,451.50, 338,229.09 and 77,707.50 is: 116,579.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,451.50 : 338,229.09 = 77,707.50 : x
  2. Step 2: Convert to fraction form
    225,451.50/338,229.09 = 77,707.50/x
  3. Step 3: Cross multiply
    225,451.50x = 338,229.09 × 77,707.50
  4. Step 4: Simplify right side
    225,451.50x = 26,282,937,011.18
  5. Step 5: Solve for x
    x = 26,282,937,011.18/225,451.50
  6. Step 6: Final answer
    x = 116,579.12

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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.