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Finding the Fourth Proportional to 197,960.90, 296,937.12 and 48,201.98

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Solution

The fourth proportional to 197,960.90, 296,937.12 and 48,201.98 is: 72,301.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,960.90 : 296,937.12 = 48,201.98 : x
  2. Step 2: Convert to fraction form
    197,960.90/296,937.12 = 48,201.98/x
  3. Step 3: Cross multiply
    197,960.90x = 296,937.12 × 48,201.98
  4. Step 4: Simplify right side
    197,960.90x = 14,312,957,119.50
  5. Step 5: Solve for x
    x = 14,312,957,119.50/197,960.90
  6. Step 6: Final answer
    x = 72,301.94

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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.