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Finding the Fourth Proportional to 273,357.28, 410,095.32 and 83,818.36

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Solution

The fourth proportional to 273,357.28, 410,095.32 and 83,818.36 is: 125,745.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,357.28 : 410,095.32 = 83,818.36 : x
  2. Step 2: Convert to fraction form
    273,357.28/410,095.32 = 83,818.36/x
  3. Step 3: Cross multiply
    273,357.28x = 410,095.32 × 83,818.36
  4. Step 4: Simplify right side
    273,357.28x = 34,373,517,166.08
  5. Step 5: Solve for x
    x = 34,373,517,166.08/273,357.28
  6. Step 6: Final answer
    x = 125,745.75

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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.