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Finding the Fourth Proportional to 195,548.50, 269,857.02 and 106,124.50

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Solution

The fourth proportional to 195,548.50, 269,857.02 and 106,124.50 is: 146,451.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,548.50 : 269,857.02 = 106,124.50 : x
  2. Step 2: Convert to fraction form
    195,548.50/269,857.02 = 106,124.50/x
  3. Step 3: Cross multiply
    195,548.50x = 269,857.02 × 106,124.50
  4. Step 4: Simplify right side
    195,548.50x = 28,638,441,318.99
  5. Step 5: Solve for x
    x = 28,638,441,318.99/195,548.50
  6. Step 6: Final answer
    x = 146,451.86

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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.