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Finding the Fourth Proportional to 131,121, 196,682.04 and 48,015

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Solution

The fourth proportional to 131,121, 196,682.04 and 48,015 is: 72,022.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,121 : 196,682.04 = 48,015 : x
  2. Step 2: Convert to fraction form
    131,121/196,682.04 = 48,015/x
  3. Step 3: Cross multiply
    131,121x = 196,682.04 × 48,015
  4. Step 4: Simplify right side
    131,121x = 9,443,688,150.60
  5. Step 5: Solve for x
    x = 9,443,688,150.60/131,121
  6. Step 6: Final answer
    x = 72,022.70

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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.