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Finding the Fourth Proportional to 188,113.38, 259,603.94 and 103,233.48

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Solution

The fourth proportional to 188,113.38, 259,603.94 and 103,233.48 is: 142,466.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,113.38 : 259,603.94 = 103,233.48 : x
  2. Step 2: Convert to fraction form
    188,113.38/259,603.94 = 103,233.48/x
  3. Step 3: Cross multiply
    188,113.38x = 259,603.94 × 103,233.48
  4. Step 4: Simplify right side
    188,113.38x = 26,799,818,147.91
  5. Step 5: Solve for x
    x = 26,799,818,147.91/188,113.38
  6. Step 6: Final answer
    x = 142,466.30

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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.