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Finding the Fourth Proportional to 202,133.64, 303,215.04 and 61,874.04

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Solution

The fourth proportional to 202,133.64, 303,215.04 and 61,874.04 is: 92,815.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,133.64 : 303,215.04 = 61,874.04 : x
  2. Step 2: Convert to fraction form
    202,133.64/303,215.04 = 61,874.04/x
  3. Step 3: Cross multiply
    202,133.64x = 303,215.04 × 61,874.04
  4. Step 4: Simplify right side
    202,133.64x = 18,761,139,513.56
  5. Step 5: Solve for x
    x = 18,761,139,513.56/202,133.64
  6. Step 6: Final answer
    x = 92,815.52

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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.