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Finding the Fourth Proportional to 224,284.32, 309,519.81 and 122,315.36

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Solution

The fourth proportional to 224,284.32, 309,519.81 and 122,315.36 is: 168,799.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,284.32 : 309,519.81 = 122,315.36 : x
  2. Step 2: Convert to fraction form
    224,284.32/309,519.81 = 122,315.36/x
  3. Step 3: Cross multiply
    224,284.32x = 309,519.81 × 122,315.36
  4. Step 4: Simplify right side
    224,284.32x = 37,859,025,439.68
  5. Step 5: Solve for x
    x = 37,859,025,439.68/224,284.32
  6. Step 6: Final answer
    x = 168,799.25

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