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Finding the Fourth Proportional to 197,463.82, 272,501.40 and 120,983.06

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Solution

The fourth proportional to 197,463.82, 272,501.40 and 120,983.06 is: 166,957.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,463.82 : 272,501.40 = 120,983.06 : x
  2. Step 2: Convert to fraction form
    197,463.82/272,501.40 = 120,983.06/x
  3. Step 3: Cross multiply
    197,463.82x = 272,501.40 × 120,983.06
  4. Step 4: Simplify right side
    197,463.82x = 32,968,053,226.28
  5. Step 5: Solve for x
    x = 32,968,053,226.28/197,463.82
  6. Step 6: Final answer
    x = 166,957.44

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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.