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Finding the Fourth Proportional to 197,471.40, 272,509.30 and 106,827

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Solution

The fourth proportional to 197,471.40, 272,509.30 and 106,827 is: 147,420.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,471.40 : 272,509.30 = 106,827 : x
  2. Step 2: Convert to fraction form
    197,471.40/272,509.30 = 106,827/x
  3. Step 3: Cross multiply
    197,471.40x = 272,509.30 × 106,827
  4. Step 4: Simplify right side
    197,471.40x = 29,111,350,991.10
  5. Step 5: Solve for x
    x = 29,111,350,991.10/197,471.40
  6. Step 6: Final answer
    x = 147,420.59

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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.