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Finding the Fourth Proportional to 224,203.66, 309,226.02 and 143,638.63

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Solution

The fourth proportional to 224,203.66, 309,226.02 and 143,638.63 is: 198,109.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,203.66 : 309,226.02 = 143,638.63 : x
  2. Step 2: Convert to fraction form
    224,203.66/309,226.02 = 143,638.63/x
  3. Step 3: Cross multiply
    224,203.66x = 309,226.02 × 143,638.63
  4. Step 4: Simplify right side
    224,203.66x = 44,416,801,873.15
  5. Step 5: Solve for x
    x = 44,416,801,873.15/224,203.66
  6. Step 6: Final answer
    x = 198,109.17

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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.