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Finding the Fourth Proportional to 224,429.88, 309,714.30 and 123,827.88

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Solution

The fourth proportional to 224,429.88, 309,714.30 and 123,827.88 is: 170,883.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,429.88 : 309,714.30 = 123,827.88 : x
  2. Step 2: Convert to fraction form
    224,429.88/309,714.30 = 123,827.88/x
  3. Step 3: Cross multiply
    224,429.88x = 309,714.30 × 123,827.88
  4. Step 4: Simplify right side
    224,429.88x = 38,351,265,174.68
  5. Step 5: Solve for x
    x = 38,351,265,174.68/224,429.88
  6. Step 6: Final answer
    x = 170,883.06

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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.