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Finding the Fourth Proportional to 202,675.83, 279,720.42 and 116,633.04

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Solution

The fourth proportional to 202,675.83, 279,720.42 and 116,633.04 is: 160,969.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,675.83 : 279,720.42 = 116,633.04 : x
  2. Step 2: Convert to fraction form
    202,675.83/279,720.42 = 116,633.04/x
  3. Step 3: Cross multiply
    202,675.83x = 279,720.42 × 116,633.04
  4. Step 4: Simplify right side
    202,675.83x = 32,624,642,934.68
  5. Step 5: Solve for x
    x = 32,624,642,934.68/202,675.83
  6. Step 6: Final answer
    x = 160,969.58

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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.