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Finding the Fourth Proportional to 214,711.83, 296,311.37 and 119,227.41

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Solution

The fourth proportional to 214,711.83, 296,311.37 and 119,227.41 is: 164,538.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,711.83 : 296,311.37 = 119,227.41 : x
  2. Step 2: Convert to fraction form
    214,711.83/296,311.37 = 119,227.41/x
  3. Step 3: Cross multiply
    214,711.83x = 296,311.37 × 119,227.41
  4. Step 4: Simplify right side
    214,711.83x = 35,328,436,602.51
  5. Step 5: Solve for x
    x = 35,328,436,602.51/214,711.83
  6. Step 6: Final answer
    x = 164,538.85

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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.