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Finding the Fourth Proportional to 281,153.10, 421,263.09 and 197,872.14

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Solution

The fourth proportional to 281,153.10, 421,263.09 and 197,872.14 is: 296,479.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,153.10 : 421,263.09 = 197,872.14 : x
  2. Step 2: Convert to fraction form
    281,153.10/421,263.09 = 197,872.14/x
  3. Step 3: Cross multiply
    281,153.10x = 421,263.09 × 197,872.14
  4. Step 4: Simplify right side
    281,153.10x = 83,356,229,121.31
  5. Step 5: Solve for x
    x = 83,356,229,121.31/281,153.10
  6. Step 6: Final answer
    x = 296,479.85

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