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Finding the Fourth Proportional to 202,361.86, 279,295.92 and 120,695.34

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Solution

The fourth proportional to 202,361.86, 279,295.92 and 120,695.34 is: 166,581.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,361.86 : 279,295.92 = 120,695.34 : x
  2. Step 2: Convert to fraction form
    202,361.86/279,295.92 = 120,695.34/x
  3. Step 3: Cross multiply
    202,361.86x = 279,295.92 × 120,695.34
  4. Step 4: Simplify right side
    202,361.86x = 33,709,716,619.77
  5. Step 5: Solve for x
    x = 33,709,716,619.77/202,361.86
  6. Step 6: Final answer
    x = 166,581.38

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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.