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Finding the Fourth Proportional to 224,175.25, 309,361.85 and 123,575.41

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Solution

The fourth proportional to 224,175.25, 309,361.85 and 123,575.41 is: 170,534.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,175.25 : 309,361.85 = 123,575.41 : x
  2. Step 2: Convert to fraction form
    224,175.25/309,361.85 = 123,575.41/x
  3. Step 3: Cross multiply
    224,175.25x = 309,361.85 × 123,575.41
  4. Step 4: Simplify right side
    224,175.25x = 38,229,516,834.23
  5. Step 5: Solve for x
    x = 38,229,516,834.23/224,175.25
  6. Step 6: Final answer
    x = 170,534.07

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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.