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Finding the Fourth Proportional to 213,882.41, 320,799 and 56,123.17

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Solution

The fourth proportional to 213,882.41, 320,799 and 56,123.17 is: 84,178.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,882.41 : 320,799 = 56,123.17 : x
  2. Step 2: Convert to fraction form
    213,882.41/320,799 = 56,123.17/x
  3. Step 3: Cross multiply
    213,882.41x = 320,799 × 56,123.17
  4. Step 4: Simplify right side
    213,882.41x = 18,004,256,812.83
  5. Step 5: Solve for x
    x = 18,004,256,812.83/213,882.41
  6. Step 6: Final answer
    x = 84,178.30

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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.