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Finding the Fourth Proportional to 203,059.50, 304,695.81 and 83,205.42

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Solution

The fourth proportional to 203,059.50, 304,695.81 and 83,205.42 is: 124,851.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,059.50 : 304,695.81 = 83,205.42 : x
  2. Step 2: Convert to fraction form
    203,059.50/304,695.81 = 83,205.42/x
  3. Step 3: Cross multiply
    203,059.50x = 304,695.81 × 83,205.42
  4. Step 4: Simplify right side
    203,059.50x = 25,352,342,843.29
  5. Step 5: Solve for x
    x = 25,352,342,843.29/203,059.50
  6. Step 6: Final answer
    x = 124,851.79

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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.