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Finding the Fourth Proportional to 188,225.40, 259,761.42 and 107,656.32

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Solution

The fourth proportional to 188,225.40, 259,761.42 and 107,656.32 is: 148,571.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,225.40 : 259,761.42 = 107,656.32 : x
  2. Step 2: Convert to fraction form
    188,225.40/259,761.42 = 107,656.32/x
  3. Step 3: Cross multiply
    188,225.40x = 259,761.42 × 107,656.32
  4. Step 4: Simplify right side
    188,225.40x = 27,964,958,555.17
  5. Step 5: Solve for x
    x = 27,964,958,555.17/188,225.40
  6. Step 6: Final answer
    x = 148,571.65

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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.