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Finding the Fourth Proportional to 202,676.32, 279,721.12 and 116,633.52

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Solution

The fourth proportional to 202,676.32, 279,721.12 and 116,633.52 is: 160,970.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,676.32 : 279,721.12 = 116,633.52 : x
  2. Step 2: Convert to fraction form
    202,676.32/279,721.12 = 116,633.52/x
  3. Step 3: Cross multiply
    202,676.32x = 279,721.12 × 116,633.52
  4. Step 4: Simplify right side
    202,676.32x = 32,624,858,843.94
  5. Step 5: Solve for x
    x = 32,624,858,843.94/202,676.32
  6. Step 6: Final answer
    x = 160,970.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.