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Finding the Fourth Proportional to 197,762.96, 296,298.84 and 164,695.76

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Solution

The fourth proportional to 197,762.96, 296,298.84 and 164,695.76 is: 246,755.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,762.96 : 296,298.84 = 164,695.76 : x
  2. Step 2: Convert to fraction form
    197,762.96/296,298.84 = 164,695.76/x
  3. Step 3: Cross multiply
    197,762.96x = 296,298.84 × 164,695.76
  4. Step 4: Simplify right side
    197,762.96x = 48,799,162,640.92
  5. Step 5: Solve for x
    x = 48,799,162,640.92/197,762.96
  6. Step 6: Final answer
    x = 246,755.83

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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.