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Finding the Fourth Proportional to 224,687.12, 310,068.36 and 122,714

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Solution

The fourth proportional to 224,687.12, 310,068.36 and 122,714 is: 169,345.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,687.12 : 310,068.36 = 122,714 : x
  2. Step 2: Convert to fraction form
    224,687.12/310,068.36 = 122,714/x
  3. Step 3: Cross multiply
    224,687.12x = 310,068.36 × 122,714
  4. Step 4: Simplify right side
    224,687.12x = 38,049,728,729.04
  5. Step 5: Solve for x
    x = 38,049,728,729.04/224,687.12
  6. Step 6: Final answer
    x = 169,345.39

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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.