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Finding the Fourth Proportional to 188,357.94, 259,818.66 and 111,825.09

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Solution

The fourth proportional to 188,357.94, 259,818.66 and 111,825.09 is: 154,250.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,357.94 : 259,818.66 = 111,825.09 : x
  2. Step 2: Convert to fraction form
    188,357.94/259,818.66 = 111,825.09/x
  3. Step 3: Cross multiply
    188,357.94x = 259,818.66 × 111,825.09
  4. Step 4: Simplify right side
    188,357.94x = 29,054,245,038.18
  5. Step 5: Solve for x
    x = 29,054,245,038.18/188,357.94
  6. Step 6: Final answer
    x = 154,250.17

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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.