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Finding the Fourth Proportional to 197,607.96, 296,412.68 and 47,848

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Solution

The fourth proportional to 197,607.96, 296,412.68 and 47,848 is: 71,772.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,607.96 : 296,412.68 = 47,848 : x
  2. Step 2: Convert to fraction form
    197,607.96/296,412.68 = 47,848/x
  3. Step 3: Cross multiply
    197,607.96x = 296,412.68 × 47,848
  4. Step 4: Simplify right side
    197,607.96x = 14,182,753,912.64
  5. Step 5: Solve for x
    x = 14,182,753,912.64/197,607.96
  6. Step 6: Final answer
    x = 71,772.18

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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.