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Finding the Fourth Proportional to 207,791.67, 286,619.54 and 144,106.23

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Solution

The fourth proportional to 207,791.67, 286,619.54 and 144,106.23 is: 198,774.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,791.67 : 286,619.54 = 144,106.23 : x
  2. Step 2: Convert to fraction form
    207,791.67/286,619.54 = 144,106.23/x
  3. Step 3: Cross multiply
    207,791.67x = 286,619.54 × 144,106.23
  4. Step 4: Simplify right side
    207,791.67x = 41,303,660,633.20
  5. Step 5: Solve for x
    x = 41,303,660,633.20/207,791.67
  6. Step 6: Final answer
    x = 198,774.38

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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.