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Finding the Fourth Proportional to 188,365.94, 259,829.70 and 111,833.12

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Solution

The fourth proportional to 188,365.94, 259,829.70 and 111,833.12 is: 154,261.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,365.94 : 259,829.70 = 111,833.12 : x
  2. Step 2: Convert to fraction form
    188,365.94/259,829.70 = 111,833.12/x
  3. Step 3: Cross multiply
    188,365.94x = 259,829.70 × 111,833.12
  4. Step 4: Simplify right side
    188,365.94x = 29,057,566,019.66
  5. Step 5: Solve for x
    x = 29,057,566,019.66/188,365.94
  6. Step 6: Final answer
    x = 154,261.25

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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.