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Finding the Fourth Proportional to 203,551.80, 305,327.70 and 98,575.80

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Solution

The fourth proportional to 203,551.80, 305,327.70 and 98,575.80 is: 147,863.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,551.80 : 305,327.70 = 98,575.80 : x
  2. Step 2: Convert to fraction form
    203,551.80/305,327.70 = 98,575.80/x
  3. Step 3: Cross multiply
    203,551.80x = 305,327.70 × 98,575.80
  4. Step 4: Simplify right side
    203,551.80x = 30,097,922,289.66
  5. Step 5: Solve for x
    x = 30,097,922,289.66/203,551.80
  6. Step 6: Final answer
    x = 147,863.70

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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.