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Finding the Fourth Proportional to 197,456, 272,533.11 and 136,288.04

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Solution

The fourth proportional to 197,456, 272,533.11 and 136,288.04 is: 188,107.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,456 : 272,533.11 = 136,288.04 : x
  2. Step 2: Convert to fraction form
    197,456/272,533.11 = 136,288.04/x
  3. Step 3: Cross multiply
    197,456x = 272,533.11 × 136,288.04
  4. Step 4: Simplify right side
    197,456x = 37,143,003,397.00
  5. Step 5: Solve for x
    x = 37,143,003,397.00/197,456
  6. Step 6: Final answer
    x = 188,107.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.