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Finding the Fourth Proportional to 272,912.90, 409,369.35 and 183,683.30

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Solution

The fourth proportional to 272,912.90, 409,369.35 and 183,683.30 is: 275,524.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,912.90 : 409,369.35 = 183,683.30 : x
  2. Step 2: Convert to fraction form
    272,912.90/409,369.35 = 183,683.30/x
  3. Step 3: Cross multiply
    272,912.90x = 409,369.35 × 183,683.30
  4. Step 4: Simplify right side
    272,912.90x = 75,194,313,126.86
  5. Step 5: Solve for x
    x = 75,194,313,126.86/272,912.90
  6. Step 6: Final answer
    x = 275,524.95

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Why These Related Problems?

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