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Finding the Fourth Proportional to 218,123.38, 302,224.81 and 213,399.46

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Solution

The fourth proportional to 218,123.38, 302,224.81 and 213,399.46 is: 295,679.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,123.38 : 302,224.81 = 213,399.46 : x
  2. Step 2: Convert to fraction form
    218,123.38/302,224.81 = 213,399.46/x
  3. Step 3: Cross multiply
    218,123.38x = 302,224.81 × 213,399.46
  4. Step 4: Simplify right side
    218,123.38x = 64,494,611,252.60
  5. Step 5: Solve for x
    x = 64,494,611,252.60/218,123.38
  6. Step 6: Final answer
    x = 295,679.50

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.