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Finding the Fourth Proportional to 197,777.96, 296,664.60 and 48,019.76

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Solution

The fourth proportional to 197,777.96, 296,664.60 and 48,019.76 is: 72,029.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,777.96 : 296,664.60 = 48,019.76 : x
  2. Step 2: Convert to fraction form
    197,777.96/296,664.60 = 48,019.76/x
  3. Step 3: Cross multiply
    197,777.96x = 296,664.60 × 48,019.76
  4. Step 4: Simplify right side
    197,777.96x = 14,245,762,892.50
  5. Step 5: Solve for x
    x = 14,245,762,892.50/197,777.96
  6. Step 6: Final answer
    x = 72,029.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.