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Finding the Fourth Proportional to 272,437.96, 408,672.30 and 82,904.50

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Solution

The fourth proportional to 272,437.96, 408,672.30 and 82,904.50 is: 124,361.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,437.96 : 408,672.30 = 82,904.50 : x
  2. Step 2: Convert to fraction form
    272,437.96/408,672.30 = 82,904.50/x
  3. Step 3: Cross multiply
    272,437.96x = 408,672.30 × 82,904.50
  4. Step 4: Simplify right side
    272,437.96x = 33,880,772,367.69
  5. Step 5: Solve for x
    x = 33,880,772,367.69/272,437.96
  6. Step 6: Final answer
    x = 124,361.42

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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.