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Finding the Fourth Proportional to 202,462.54, 279,393.81 and 110,578.77

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Solution

The fourth proportional to 202,462.54, 279,393.81 and 110,578.77 is: 152,596.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,462.54 : 279,393.81 = 110,578.77 : x
  2. Step 2: Convert to fraction form
    202,462.54/279,393.81 = 110,578.77/x
  3. Step 3: Cross multiply
    202,462.54x = 279,393.81 × 110,578.77
  4. Step 4: Simplify right side
    202,462.54x = 30,895,023,440.74
  5. Step 5: Solve for x
    x = 30,895,023,440.74/202,462.54
  6. Step 6: Final answer
    x = 152,596.25

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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.