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Finding the Fourth Proportional to 271,973.70, 407,614.95 and 131,429.70

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Solution

The fourth proportional to 271,973.70, 407,614.95 and 131,429.70 is: 196,977.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,973.70 : 407,614.95 = 131,429.70 : x
  2. Step 2: Convert to fraction form
    271,973.70/407,614.95 = 131,429.70/x
  3. Step 3: Cross multiply
    271,973.70x = 407,614.95 × 131,429.70
  4. Step 4: Simplify right side
    271,973.70x = 53,572,710,594.02
  5. Step 5: Solve for x
    x = 53,572,710,594.02/271,973.70
  6. Step 6: Final answer
    x = 196,977.54

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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.