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Finding the Fourth Proportional to 224,022, 309,150.36 and 123,422.16

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Solution

The fourth proportional to 224,022, 309,150.36 and 123,422.16 is: 170,322.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,022 : 309,150.36 = 123,422.16 : x
  2. Step 2: Convert to fraction form
    224,022/309,150.36 = 123,422.16/x
  3. Step 3: Cross multiply
    224,022x = 309,150.36 × 123,422.16
  4. Step 4: Simplify right side
    224,022x = 38,156,005,195.98
  5. Step 5: Solve for x
    x = 38,156,005,195.98/224,022
  6. Step 6: Final answer
    x = 170,322.58

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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.