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Finding the Fourth Proportional to 226,098.20, 312,047.80 and 135,457.94

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Solution

The fourth proportional to 226,098.20, 312,047.80 and 135,457.94 is: 186,951.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,098.20 : 312,047.80 = 135,457.94 : x
  2. Step 2: Convert to fraction form
    226,098.20/312,047.80 = 135,457.94/x
  3. Step 3: Cross multiply
    226,098.20x = 312,047.80 × 135,457.94
  4. Step 4: Simplify right side
    226,098.20x = 42,269,352,169.53
  5. Step 5: Solve for x
    x = 42,269,352,169.53/226,098.20
  6. Step 6: Final answer
    x = 186,951.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.