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Finding the Fourth Proportional to 224,644.64, 336,928.24 and 74,868

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Solution

The fourth proportional to 224,644.64, 336,928.24 and 74,868 is: 112,289.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,644.64 : 336,928.24 = 74,868 : x
  2. Step 2: Convert to fraction form
    224,644.64/336,928.24 = 74,868/x
  3. Step 3: Cross multiply
    224,644.64x = 336,928.24 × 74,868
  4. Step 4: Simplify right side
    224,644.64x = 25,225,143,472.32
  5. Step 5: Solve for x
    x = 25,225,143,472.32/224,644.64
  6. Step 6: Final answer
    x = 112,289.10

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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.