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Finding the Fourth Proportional to 283,067.60, 424,031.52 and 131,050.40

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Solution

The fourth proportional to 283,067.60, 424,031.52 and 131,050.40 is: 196,311.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,067.60 : 424,031.52 = 131,050.40 : x
  2. Step 2: Convert to fraction form
    283,067.60/424,031.52 = 131,050.40/x
  3. Step 3: Cross multiply
    283,067.60x = 424,031.52 × 131,050.40
  4. Step 4: Simplify right side
    283,067.60x = 55,569,500,308.61
  5. Step 5: Solve for x
    x = 55,569,500,308.61/283,067.60
  6. Step 6: Final answer
    x = 196,311.77

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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.