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Finding the Fourth Proportional to 202,493.81, 279,436.10 and 111,847.82

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Solution

The fourth proportional to 202,493.81, 279,436.10 and 111,847.82 is: 154,347.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,493.81 : 279,436.10 = 111,847.82 : x
  2. Step 2: Convert to fraction form
    202,493.81/279,436.10 = 111,847.82/x
  3. Step 3: Cross multiply
    202,493.81x = 279,436.10 × 111,847.82
  4. Step 4: Simplify right side
    202,493.81x = 31,254,319,522.38
  5. Step 5: Solve for x
    x = 31,254,319,522.38/202,493.81
  6. Step 6: Final answer
    x = 154,347.04

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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.