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Finding the Fourth Proportional to 204,486.32, 306,745.89 and 71,363.63

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Solution

The fourth proportional to 204,486.32, 306,745.89 and 71,363.63 is: 107,051.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,486.32 : 306,745.89 = 71,363.63 : x
  2. Step 2: Convert to fraction form
    204,486.32/306,745.89 = 71,363.63/x
  3. Step 3: Cross multiply
    204,486.32x = 306,745.89 × 71,363.63
  4. Step 4: Simplify right side
    204,486.32x = 21,890,500,697.23
  5. Step 5: Solve for x
    x = 21,890,500,697.23/204,486.32
  6. Step 6: Final answer
    x = 107,051.17

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1.5x scale

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.