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Finding the Fourth Proportional to 201,091.30, 301,746.30 and 82,774.60

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Solution

The fourth proportional to 201,091.30, 301,746.30 and 82,774.60 is: 124,206.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,091.30 : 301,746.30 = 82,774.60 : x
  2. Step 2: Convert to fraction form
    201,091.30/301,746.30 = 82,774.60/x
  3. Step 3: Cross multiply
    201,091.30x = 301,746.30 × 82,774.60
  4. Step 4: Simplify right side
    201,091.30x = 24,976,929,283.98
  5. Step 5: Solve for x
    x = 24,976,929,283.98/201,091.30
  6. Step 6: Final answer
    x = 124,206.91

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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.