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Finding the Fourth Proportional to 198,700.70, 298,051.12 and 48,943.90

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Solution

The fourth proportional to 198,700.70, 298,051.12 and 48,943.90 is: 73,415.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,700.70 : 298,051.12 = 48,943.90 : x
  2. Step 2: Convert to fraction form
    198,700.70/298,051.12 = 48,943.90/x
  3. Step 3: Cross multiply
    198,700.70x = 298,051.12 × 48,943.90
  4. Step 4: Simplify right side
    198,700.70x = 14,587,782,831.72
  5. Step 5: Solve for x
    x = 14,587,782,831.72/198,700.70
  6. Step 6: Final answer
    x = 73,415.86

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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.