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Finding the Fourth Proportional to 202,267.74, 303,434.52 and 75,917.91

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Solution

The fourth proportional to 202,267.74, 303,434.52 and 75,917.91 is: 113,889.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,267.74 : 303,434.52 = 75,917.91 : x
  2. Step 2: Convert to fraction form
    202,267.74/303,434.52 = 75,917.91/x
  3. Step 3: Cross multiply
    202,267.74x = 303,434.52 × 75,917.91
  4. Step 4: Simplify right side
    202,267.74x = 23,036,114,580.25
  5. Step 5: Solve for x
    x = 23,036,114,580.25/202,267.74
  6. Step 6: Final answer
    x = 113,889.22

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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.