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Finding the Fourth Proportional to 224,617.72, 309,970.38 and 124,016.44

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Solution

The fourth proportional to 224,617.72, 309,970.38 and 124,016.44 is: 171,141.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,617.72 : 309,970.38 = 124,016.44 : x
  2. Step 2: Convert to fraction form
    224,617.72/309,970.38 = 124,016.44/x
  3. Step 3: Cross multiply
    224,617.72x = 309,970.38 × 124,016.44
  4. Step 4: Simplify right side
    224,617.72x = 38,441,423,033.05
  5. Step 5: Solve for x
    x = 38,441,423,033.05/224,617.72
  6. Step 6: Final answer
    x = 171,141.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.