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Finding the Fourth Proportional to 202,633.94, 279,669.56 and 117,800.21

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Solution

The fourth proportional to 202,633.94, 279,669.56 and 117,800.21 is: 162,584.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,633.94 : 279,669.56 = 117,800.21 : x
  2. Step 2: Convert to fraction form
    202,633.94/279,669.56 = 117,800.21/x
  3. Step 3: Cross multiply
    202,633.94x = 279,669.56 × 117,800.21
  4. Step 4: Simplify right side
    202,633.94x = 32,945,130,911.26
  5. Step 5: Solve for x
    x = 32,945,130,911.26/202,633.94
  6. Step 6: Final answer
    x = 162,584.47

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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.