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Finding the Fourth Proportional to 202,804.52, 279,872.64 and 112,167.92

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Solution

The fourth proportional to 202,804.52, 279,872.64 and 112,167.92 is: 154,793.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,804.52 : 279,872.64 = 112,167.92 : x
  2. Step 2: Convert to fraction form
    202,804.52/279,872.64 = 112,167.92/x
  3. Step 3: Cross multiply
    202,804.52x = 279,872.64 × 112,167.92
  4. Step 4: Simplify right side
    202,804.52x = 31,392,731,893.71
  5. Step 5: Solve for x
    x = 31,392,731,893.71/202,804.52
  6. Step 6: Final answer
    x = 154,793.06

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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.