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Finding the Fourth Proportional to 203,601.51, 305,558.07 and 146,647.98

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Solution

The fourth proportional to 203,601.51, 305,558.07 and 146,647.98 is: 220,084.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,601.51 : 305,558.07 = 146,647.98 : x
  2. Step 2: Convert to fraction form
    203,601.51/305,558.07 = 146,647.98/x
  3. Step 3: Cross multiply
    203,601.51x = 305,558.07 × 146,647.98
  4. Step 4: Simplify right side
    203,601.51x = 44,809,473,738.20
  5. Step 5: Solve for x
    x = 44,809,473,738.20/203,601.51
  6. Step 6: Final answer
    x = 220,084.19

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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.