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Finding the Fourth Proportional to 125,963.23, 188,023.27 and 111,016.98

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Solution

The fourth proportional to 125,963.23, 188,023.27 and 111,016.98 is: 165,713.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,963.23 : 188,023.27 = 111,016.98 : x
  2. Step 2: Convert to fraction form
    125,963.23/188,023.27 = 111,016.98/x
  3. Step 3: Cross multiply
    125,963.23x = 188,023.27 × 111,016.98
  4. Step 4: Simplify right side
    125,963.23x = 20,873,775,605.12
  5. Step 5: Solve for x
    x = 20,873,775,605.12/125,963.23
  6. Step 6: Final answer
    x = 165,713.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.