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Finding the Fourth Proportional to 188,092.59, 259,567.78 and 107,521.91

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Solution

The fourth proportional to 188,092.59, 259,567.78 and 107,521.91 is: 148,380.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,092.59 : 259,567.78 = 107,521.91 : x
  2. Step 2: Convert to fraction form
    188,092.59/259,567.78 = 107,521.91/x
  3. Step 3: Cross multiply
    188,092.59x = 259,567.78 × 107,521.91
  4. Step 4: Simplify right side
    188,092.59x = 27,909,223,480.06
  5. Step 5: Solve for x
    x = 27,909,223,480.06/188,092.59
  6. Step 6: Final answer
    x = 148,380.24

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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.