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Finding the Fourth Proportional to 197,856.50, 296,781.98 and 48,096.32

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Solution

The fourth proportional to 197,856.50, 296,781.98 and 48,096.32 is: 72,143.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,856.50 : 296,781.98 = 48,096.32 : x
  2. Step 2: Convert to fraction form
    197,856.50/296,781.98 = 48,096.32/x
  3. Step 3: Cross multiply
    197,856.50x = 296,781.98 × 48,096.32
  4. Step 4: Simplify right side
    197,856.50x = 14,274,119,355.92
  5. Step 5: Solve for x
    x = 14,274,119,355.92/197,856.50
  6. Step 6: Final answer
    x = 72,143.80

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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.