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Finding the Fourth Proportional to 263,880, 364,177.44 and 144,671.04

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Solution

The fourth proportional to 263,880, 364,177.44 and 144,671.04 is: 199,658.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,880 : 364,177.44 = 144,671.04 : x
  2. Step 2: Convert to fraction form
    263,880/364,177.44 = 144,671.04/x
  3. Step 3: Cross multiply
    263,880x = 364,177.44 × 144,671.04
  4. Step 4: Simplify right side
    263,880x = 52,685,928,989.34
  5. Step 5: Solve for x
    x = 52,685,928,989.34/263,880
  6. Step 6: Final answer
    x = 199,658.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.