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Finding the Fourth Proportional to 148,903.08, 223,355.16 and 36,584.16

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Solution

The fourth proportional to 148,903.08, 223,355.16 and 36,584.16 is: 54,876.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,903.08 : 223,355.16 = 36,584.16 : x
  2. Step 2: Convert to fraction form
    148,903.08/223,355.16 = 36,584.16/x
  3. Step 3: Cross multiply
    148,903.08x = 223,355.16 × 36,584.16
  4. Step 4: Simplify right side
    148,903.08x = 8,171,260,910.27
  5. Step 5: Solve for x
    x = 8,171,260,910.27/148,903.08
  6. Step 6: Final answer
    x = 54,876.37

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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.