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Finding the Fourth Proportional to 272,077, 408,139.02 and 75,085

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Solution

The fourth proportional to 272,077, 408,139.02 and 75,085 is: 112,633.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,077 : 408,139.02 = 75,085 : x
  2. Step 2: Convert to fraction form
    272,077/408,139.02 = 75,085/x
  3. Step 3: Cross multiply
    272,077x = 408,139.02 × 75,085
  4. Step 4: Simplify right side
    272,077x = 30,645,118,316.70
  5. Step 5: Solve for x
    x = 30,645,118,316.70/272,077
  6. Step 6: Final answer
    x = 112,633.99

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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.