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Finding the Fourth Proportional to 202,791.48, 279,862.74 and 116,763.24

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Solution

The fourth proportional to 202,791.48, 279,862.74 and 116,763.24 is: 161,139.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,791.48 : 279,862.74 = 116,763.24 : x
  2. Step 2: Convert to fraction form
    202,791.48/279,862.74 = 116,763.24/x
  3. Step 3: Cross multiply
    202,791.48x = 279,862.74 × 116,763.24
  4. Step 4: Simplify right side
    202,791.48x = 32,677,680,277.68
  5. Step 5: Solve for x
    x = 32,677,680,277.68/202,791.48
  6. Step 6: Final answer
    x = 161,139.32

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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.