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Finding the Fourth Proportional to 202,733.30, 279,760.65 and 112,083.98

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Solution

The fourth proportional to 202,733.30, 279,760.65 and 112,083.98 is: 154,669.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,733.30 : 279,760.65 = 112,083.98 : x
  2. Step 2: Convert to fraction form
    202,733.30/279,760.65 = 112,083.98/x
  3. Step 3: Cross multiply
    202,733.30x = 279,760.65 × 112,083.98
  4. Step 4: Simplify right side
    202,733.30x = 31,356,687,099.39
  5. Step 5: Solve for x
    x = 31,356,687,099.39/202,733.30
  6. Step 6: Final answer
    x = 154,669.64

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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.