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Finding the Fourth Proportional to 224,507.22, 336,824 and 98,158.56

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Solution

The fourth proportional to 224,507.22, 336,824 and 98,158.56 is: 147,265.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,507.22 : 336,824 = 98,158.56 : x
  2. Step 2: Convert to fraction form
    224,507.22/336,824 = 98,158.56/x
  3. Step 3: Cross multiply
    224,507.22x = 336,824 × 98,158.56
  4. Step 4: Simplify right side
    224,507.22x = 33,062,158,813.44
  5. Step 5: Solve for x
    x = 33,062,158,813.44/224,507.22
  6. Step 6: Final answer
    x = 147,265.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.