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Finding the Fourth Proportional to 224,521.68, 309,837.48 and 122,546.32

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Solution

The fourth proportional to 224,521.68, 309,837.48 and 122,546.32 is: 169,112.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,521.68 : 309,837.48 = 122,546.32 : x
  2. Step 2: Convert to fraction form
    224,521.68/309,837.48 = 122,546.32/x
  3. Step 3: Cross multiply
    224,521.68x = 309,837.48 × 122,546.32
  4. Step 4: Simplify right side
    224,521.68x = 37,969,442,972.07
  5. Step 5: Solve for x
    x = 37,969,442,972.07/224,521.68
  6. Step 6: Final answer
    x = 169,112.59

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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.