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Finding the Fourth Proportional to 201,416.10, 301,778.55 and 131,259.30

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Solution

The fourth proportional to 201,416.10, 301,778.55 and 131,259.30 is: 196,663.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,416.10 : 301,778.55 = 131,259.30 : x
  2. Step 2: Convert to fraction form
    201,416.10/301,778.55 = 131,259.30/x
  3. Step 3: Cross multiply
    201,416.10x = 301,778.55 × 131,259.30
  4. Step 4: Simplify right side
    201,416.10x = 39,611,241,228.02
  5. Step 5: Solve for x
    x = 39,611,241,228.02/201,416.10
  6. Step 6: Final answer
    x = 196,663.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.