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Finding the Fourth Proportional to 205,461.40, 307,997.70 and 121,286.20

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Solution

The fourth proportional to 205,461.40, 307,997.70 and 121,286.20 is: 181,814.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,461.40 : 307,997.70 = 121,286.20 : x
  2. Step 2: Convert to fraction form
    205,461.40/307,997.70 = 121,286.20/x
  3. Step 3: Cross multiply
    205,461.40x = 307,997.70 × 121,286.20
  4. Step 4: Simplify right side
    205,461.40x = 37,355,870,641.74
  5. Step 5: Solve for x
    x = 37,355,870,641.74/205,461.40
  6. Step 6: Final answer
    x = 181,814.54

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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.