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Finding the Fourth Proportional to 149,384.40, 223,879.80 and 109,755.60

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Solution

The fourth proportional to 149,384.40, 223,879.80 and 109,755.60 is: 164,488.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,384.40 : 223,879.80 = 109,755.60 : x
  2. Step 2: Convert to fraction form
    149,384.40/223,879.80 = 109,755.60/x
  3. Step 3: Cross multiply
    149,384.40x = 223,879.80 × 109,755.60
  4. Step 4: Simplify right side
    149,384.40x = 24,572,061,776.88
  5. Step 5: Solve for x
    x = 24,572,061,776.88/149,384.40
  6. Step 6: Final answer
    x = 164,488.81

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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.