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Finding the Fourth Proportional to 190,122.30, 285,198.30 and 84,951.90

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Solution

The fourth proportional to 190,122.30, 285,198.30 and 84,951.90 is: 127,434.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,122.30 : 285,198.30 = 84,951.90 : x
  2. Step 2: Convert to fraction form
    190,122.30/285,198.30 = 84,951.90/x
  3. Step 3: Cross multiply
    190,122.30x = 285,198.30 × 84,951.90
  4. Step 4: Simplify right side
    190,122.30x = 24,228,137,461.77
  5. Step 5: Solve for x
    x = 24,228,137,461.77/190,122.30
  6. Step 6: Final answer
    x = 127,434.49

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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.