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Finding the Fourth Proportional to 197,554, 272,624.50 and 106,909.96

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Solution

The fourth proportional to 197,554, 272,624.50 and 106,909.96 is: 147,535.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,554 : 272,624.50 = 106,909.96 : x
  2. Step 2: Convert to fraction form
    197,554/272,624.50 = 106,909.96/x
  3. Step 3: Cross multiply
    197,554x = 272,624.50 × 106,909.96
  4. Step 4: Simplify right side
    197,554x = 29,146,274,390.02
  5. Step 5: Solve for x
    x = 29,146,274,390.02/197,554
  6. Step 6: Final answer
    x = 147,535.73

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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.