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Finding the Fourth Proportional to 204,703.88, 307,147.98 and 111,069.32

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Solution

The fourth proportional to 204,703.88, 307,147.98 and 111,069.32 is: 166,653.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,703.88 : 307,147.98 = 111,069.32 : x
  2. Step 2: Convert to fraction form
    204,703.88/307,147.98 = 111,069.32/x
  3. Step 3: Cross multiply
    204,703.88x = 307,147.98 × 111,069.32
  4. Step 4: Simplify right side
    204,703.88x = 34,114,717,277.97
  5. Step 5: Solve for x
    x = 34,114,717,277.97/204,703.88
  6. Step 6: Final answer
    x = 166,653.98

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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.