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Finding the Fourth Proportional to 203,061, 304,698.06 and 83,206.92

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Solution

The fourth proportional to 203,061, 304,698.06 and 83,206.92 is: 124,854.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,061 : 304,698.06 = 83,206.92 : x
  2. Step 2: Convert to fraction form
    203,061/304,698.06 = 83,206.92/x
  3. Step 3: Cross multiply
    203,061x = 304,698.06 × 83,206.92
  4. Step 4: Simplify right side
    203,061x = 25,352,987,102.58
  5. Step 5: Solve for x
    x = 25,352,987,102.58/203,061
  6. Step 6: Final answer
    x = 124,854.04

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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.