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Finding the Fourth Proportional to 197,224.17, 295,910.13 and 102,395.16

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Solution

The fourth proportional to 197,224.17, 295,910.13 and 102,395.16 is: 153,631.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,224.17 : 295,910.13 = 102,395.16 : x
  2. Step 2: Convert to fraction form
    197,224.17/295,910.13 = 102,395.16/x
  3. Step 3: Cross multiply
    197,224.17x = 295,910.13 × 102,395.16
  4. Step 4: Simplify right side
    197,224.17x = 30,299,765,106.97
  5. Step 5: Solve for x
    x = 30,299,765,106.97/197,224.17
  6. Step 6: Final answer
    x = 153,631.09

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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.