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Finding the Fourth Proportional to 272,111.92, 408,077.14 and 114,310.96

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Solution

The fourth proportional to 272,111.92, 408,077.14 and 114,310.96 is: 171,428.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,111.92 : 408,077.14 = 114,310.96 : x
  2. Step 2: Convert to fraction form
    272,111.92/408,077.14 = 114,310.96/x
  3. Step 3: Cross multiply
    272,111.92x = 408,077.14 × 114,310.96
  4. Step 4: Simplify right side
    272,111.92x = 46,647,689,627.45
  5. Step 5: Solve for x
    x = 46,647,689,627.45/272,111.92
  6. Step 6: Final answer
    x = 171,428.32

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1.5x scale

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.