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Finding the Fourth Proportional to 214,817.94, 322,374.84 and 74,576.57

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Solution

The fourth proportional to 214,817.94, 322,374.84 and 74,576.57 is: 111,916.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,817.94 : 322,374.84 = 74,576.57 : x
  2. Step 2: Convert to fraction form
    214,817.94/322,374.84 = 74,576.57/x
  3. Step 3: Cross multiply
    214,817.94x = 322,374.84 × 74,576.57
  4. Step 4: Simplify right side
    214,817.94x = 24,041,607,836.74
  5. Step 5: Solve for x
    x = 24,041,607,836.74/214,817.94
  6. Step 6: Final answer
    x = 111,916.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.