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Finding the Fourth Proportional to 201,856.44, 302,843.87 and 59,705.46

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Solution

The fourth proportional to 201,856.44, 302,843.87 and 59,705.46 is: 89,575.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,856.44 : 302,843.87 = 59,705.46 : x
  2. Step 2: Convert to fraction form
    201,856.44/302,843.87 = 59,705.46/x
  3. Step 3: Cross multiply
    201,856.44x = 302,843.87 × 59,705.46
  4. Step 4: Simplify right side
    201,856.44x = 18,081,432,268.00
  5. Step 5: Solve for x
    x = 18,081,432,268.00/201,856.44
  6. Step 6: Final answer
    x = 89,575.70

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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.