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Finding the Fourth Proportional to 203,548.80, 305,323.20 and 98,572.80

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Solution

The fourth proportional to 203,548.80, 305,323.20 and 98,572.80 is: 147,859.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,548.80 : 305,323.20 = 98,572.80 : x
  2. Step 2: Convert to fraction form
    203,548.80/305,323.20 = 98,572.80/x
  3. Step 3: Cross multiply
    203,548.80x = 305,323.20 × 98,572.80
  4. Step 4: Simplify right side
    203,548.80x = 30,096,562,728.96
  5. Step 5: Solve for x
    x = 30,096,562,728.96/203,548.80
  6. Step 6: Final answer
    x = 147,859.20

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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.