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Finding the Fourth Proportional to 197,192.60, 272,257.16 and 116,646

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Solution

The fourth proportional to 197,192.60, 272,257.16 and 116,646 is: 161,049.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,192.60 : 272,257.16 = 116,646 : x
  2. Step 2: Convert to fraction form
    197,192.60/272,257.16 = 116,646/x
  3. Step 3: Cross multiply
    197,192.60x = 272,257.16 × 116,646
  4. Step 4: Simplify right side
    197,192.60x = 31,757,708,685.36
  5. Step 5: Solve for x
    x = 31,757,708,685.36/197,192.60
  6. Step 6: Final answer
    x = 161,049.19

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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.