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Finding the Fourth Proportional to 214,112.63, 321,063.85 and 105,916.99

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Solution

The fourth proportional to 214,112.63, 321,063.85 and 105,916.99 is: 158,823.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,112.63 : 321,063.85 = 105,916.99 : x
  2. Step 2: Convert to fraction form
    214,112.63/321,063.85 = 105,916.99/x
  3. Step 3: Cross multiply
    214,112.63x = 321,063.85 × 105,916.99
  4. Step 4: Simplify right side
    214,112.63x = 34,006,114,454.91
  5. Step 5: Solve for x
    x = 34,006,114,454.91/214,112.63
  6. Step 6: Final answer
    x = 158,823.49

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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.