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Finding the Fourth Proportional to 224,433.31, 309,437.82 and 143,728.15

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Solution

The fourth proportional to 224,433.31, 309,437.82 and 143,728.15 is: 198,165.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,433.31 : 309,437.82 = 143,728.15 : x
  2. Step 2: Convert to fraction form
    224,433.31/309,437.82 = 143,728.15/x
  3. Step 3: Cross multiply
    224,433.31x = 309,437.82 × 143,728.15
  4. Step 4: Simplify right side
    224,433.31x = 44,474,925,408.63
  5. Step 5: Solve for x
    x = 44,474,925,408.63/224,433.31
  6. Step 6: Final answer
    x = 198,165.44

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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.