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Finding the Fourth Proportional to 204,485, 282,166.62 and 113,820.08

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Solution

The fourth proportional to 204,485, 282,166.62 and 113,820.08 is: 157,059.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,485 : 282,166.62 = 113,820.08 : x
  2. Step 2: Convert to fraction form
    204,485/282,166.62 = 113,820.08/x
  3. Step 3: Cross multiply
    204,485x = 282,166.62 × 113,820.08
  4. Step 4: Simplify right side
    204,485x = 32,116,227,261.73
  5. Step 5: Solve for x
    x = 32,116,227,261.73/204,485
  6. Step 6: Final answer
    x = 157,059.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.