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Finding the Fourth Proportional to 224,586.90, 309,982.01 and 148,119.66

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Solution

The fourth proportional to 224,586.90, 309,982.01 and 148,119.66 is: 204,439.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,586.90 : 309,982.01 = 148,119.66 : x
  2. Step 2: Convert to fraction form
    224,586.90/309,982.01 = 148,119.66/x
  3. Step 3: Cross multiply
    224,586.90x = 309,982.01 × 148,119.66
  4. Step 4: Simplify right side
    224,586.90x = 45,914,429,186.72
  5. Step 5: Solve for x
    x = 45,914,429,186.72/224,586.90
  6. Step 6: Final answer
    x = 204,439.48

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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.