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Finding the Fourth Proportional to 224,532.96, 309,855.41 and 153,037.83

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Solution

The fourth proportional to 224,532.96, 309,855.41 and 153,037.83 is: 211,192.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,532.96 : 309,855.41 = 153,037.83 : x
  2. Step 2: Convert to fraction form
    224,532.96/309,855.41 = 153,037.83/x
  3. Step 3: Cross multiply
    224,532.96x = 309,855.41 × 153,037.83
  4. Step 4: Simplify right side
    224,532.96x = 47,419,598,794.97
  5. Step 5: Solve for x
    x = 47,419,598,794.97/224,532.96
  6. Step 6: Final answer
    x = 211,192.15

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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.