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Finding the Fourth Proportional to 188,228.96, 259,747.76 and 103,347.44

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Solution

The fourth proportional to 188,228.96, 259,747.76 and 103,347.44 is: 142,614.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,228.96 : 259,747.76 = 103,347.44 : x
  2. Step 2: Convert to fraction form
    188,228.96/259,747.76 = 103,347.44/x
  3. Step 3: Cross multiply
    188,228.96x = 259,747.76 × 103,347.44
  4. Step 4: Simplify right side
    188,228.96x = 26,844,266,041.73
  5. Step 5: Solve for x
    x = 26,844,266,041.73/188,228.96
  6. Step 6: Final answer
    x = 142,614.96

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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.