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Finding the Fourth Proportional to 195,003.14, 292,657.23 and 100,229.49

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Solution

The fourth proportional to 195,003.14, 292,657.23 and 100,229.49 is: 150,422.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,003.14 : 292,657.23 = 100,229.49 : x
  2. Step 2: Convert to fraction form
    195,003.14/292,657.23 = 100,229.49/x
  3. Step 3: Cross multiply
    195,003.14x = 292,657.23 × 100,229.49
  4. Step 4: Simplify right side
    195,003.14x = 29,332,884,907.71
  5. Step 5: Solve for x
    x = 29,332,884,907.71/195,003.14
  6. Step 6: Final answer
    x = 150,422.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.