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Finding the Fourth Proportional to 203,817.93, 305,393.96 and 123,880.34

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Solution

The fourth proportional to 203,817.93, 305,393.96 and 123,880.34 is: 185,618.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,817.93 : 305,393.96 = 123,880.34 : x
  2. Step 2: Convert to fraction form
    203,817.93/305,393.96 = 123,880.34/x
  3. Step 3: Cross multiply
    203,817.93x = 305,393.96 × 123,880.34
  4. Step 4: Simplify right side
    203,817.93x = 37,832,308,671.93
  5. Step 5: Solve for x
    x = 37,832,308,671.93/203,817.93
  6. Step 6: Final answer
    x = 185,618.16

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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.