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Finding the Fourth Proportional to 197,988.85, 296,983.86 and 48,229.21

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Solution

The fourth proportional to 197,988.85, 296,983.86 and 48,229.21 is: 72,343.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,988.85 : 296,983.86 = 48,229.21 : x
  2. Step 2: Convert to fraction form
    197,988.85/296,983.86 = 48,229.21/x
  3. Step 3: Cross multiply
    197,988.85x = 296,983.86 × 48,229.21
  4. Step 4: Simplify right side
    197,988.85x = 14,323,296,950.55
  5. Step 5: Solve for x
    x = 14,323,296,950.55/197,988.85
  6. Step 6: Final answer
    x = 72,343.96

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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.