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Finding the Fourth Proportional to 109,898.10, 164,847.15 and 99,564.53

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Solution

The fourth proportional to 109,898.10, 164,847.15 and 99,564.53 is: 149,346.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,898.10 : 164,847.15 = 99,564.53 : x
  2. Step 2: Convert to fraction form
    109,898.10/164,847.15 = 99,564.53/x
  3. Step 3: Cross multiply
    109,898.10x = 164,847.15 × 99,564.53
  4. Step 4: Simplify right side
    109,898.10x = 16,412,928,187.35
  5. Step 5: Solve for x
    x = 16,412,928,187.35/109,898.10
  6. Step 6: Final answer
    x = 149,346.79

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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.