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Finding the Fourth Proportional to 279,342.75, 419,096.76 and 161,098.95

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Solution

The fourth proportional to 279,342.75, 419,096.76 and 161,098.95 is: 241,696.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,342.75 : 419,096.76 = 161,098.95 : x
  2. Step 2: Convert to fraction form
    279,342.75/419,096.76 = 161,098.95/x
  3. Step 3: Cross multiply
    279,342.75x = 419,096.76 × 161,098.95
  4. Step 4: Simplify right side
    279,342.75x = 67,516,047,984.40
  5. Step 5: Solve for x
    x = 67,516,047,984.40/279,342.75
  6. Step 6: Final answer
    x = 241,696.08

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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.