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Finding the Fourth Proportional to 188,290.50, 259,726.79 and 111,759.17

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Solution

The fourth proportional to 188,290.50, 259,726.79 and 111,759.17 is: 154,159.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,290.50 : 259,726.79 = 111,759.17 : x
  2. Step 2: Convert to fraction form
    188,290.50/259,726.79 = 111,759.17/x
  3. Step 3: Cross multiply
    188,290.50x = 259,726.79 × 111,759.17
  4. Step 4: Simplify right side
    188,290.50x = 29,026,849,918.37
  5. Step 5: Solve for x
    x = 29,026,849,918.37/188,290.50
  6. Step 6: Final answer
    x = 154,159.93

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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.