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Finding the Fourth Proportional to 202,993.70, 280,125.51 and 112,353.38

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Solution

The fourth proportional to 202,993.70, 280,125.51 and 112,353.38 is: 155,044.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,993.70 : 280,125.51 = 112,353.38 : x
  2. Step 2: Convert to fraction form
    202,993.70/280,125.51 = 112,353.38/x
  3. Step 3: Cross multiply
    202,993.70x = 280,125.51 × 112,353.38
  4. Step 4: Simplify right side
    202,993.70x = 31,473,047,872.72
  5. Step 5: Solve for x
    x = 31,473,047,872.72/202,993.70
  6. Step 6: Final answer
    x = 155,044.46

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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.