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Finding the Fourth Proportional to 147,409.50, 221,115.69 and 36,601.50

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Solution

The fourth proportional to 147,409.50, 221,115.69 and 36,601.50 is: 54,902.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,409.50 : 221,115.69 = 36,601.50 : x
  2. Step 2: Convert to fraction form
    147,409.50/221,115.69 = 36,601.50/x
  3. Step 3: Cross multiply
    147,409.50x = 221,115.69 × 36,601.50
  4. Step 4: Simplify right side
    147,409.50x = 8,093,165,927.54
  5. Step 5: Solve for x
    x = 8,093,165,927.54/147,409.50
  6. Step 6: Final answer
    x = 54,902.61

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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.