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Finding the Fourth Proportional to 283,106.80, 424,660.20 and 194,633.20

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Solution

The fourth proportional to 283,106.80, 424,660.20 and 194,633.20 is: 291,949.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,106.80 : 424,660.20 = 194,633.20 : x
  2. Step 2: Convert to fraction form
    283,106.80/424,660.20 = 194,633.20/x
  3. Step 3: Cross multiply
    283,106.80x = 424,660.20 × 194,633.20
  4. Step 4: Simplify right side
    283,106.80x = 82,652,973,638.64
  5. Step 5: Solve for x
    x = 82,652,973,638.64/283,106.80
  6. Step 6: Final answer
    x = 291,949.80

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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.