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Finding the Fourth Proportional to 202,849.86, 279,908.50 and 112,193.58

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Solution

The fourth proportional to 202,849.86, 279,908.50 and 112,193.58 is: 154,813.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,849.86 : 279,908.50 = 112,193.58 : x
  2. Step 2: Convert to fraction form
    202,849.86/279,908.50 = 112,193.58/x
  3. Step 3: Cross multiply
    202,849.86x = 279,908.50 × 112,193.58
  4. Step 4: Simplify right side
    202,849.86x = 31,403,936,687.43
  5. Step 5: Solve for x
    x = 31,403,936,687.43/202,849.86
  6. Step 6: Final answer
    x = 154,813.70

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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.