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Finding the Fourth Proportional to 195,532.98, 269,835.50 and 106,108.98

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Solution

The fourth proportional to 195,532.98, 269,835.50 and 106,108.98 is: 146,430.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,532.98 : 269,835.50 = 106,108.98 : x
  2. Step 2: Convert to fraction form
    195,532.98/269,835.50 = 106,108.98/x
  3. Step 3: Cross multiply
    195,532.98x = 269,835.50 × 106,108.98
  4. Step 4: Simplify right side
    195,532.98x = 28,631,969,142.25
  5. Step 5: Solve for x
    x = 28,631,969,142.25/195,532.98
  6. Step 6: Final answer
    x = 146,430.38

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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.