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Finding the Fourth Proportional to 201,232.08, 301,847.80 and 53,488.08

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Solution

The fourth proportional to 201,232.08, 301,847.80 and 53,488.08 is: 80,232.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,232.08 : 301,847.80 = 53,488.08 : x
  2. Step 2: Convert to fraction form
    201,232.08/301,847.80 = 53,488.08/x
  3. Step 3: Cross multiply
    201,232.08x = 301,847.80 × 53,488.08
  4. Step 4: Simplify right side
    201,232.08x = 16,145,259,274.22
  5. Step 5: Solve for x
    x = 16,145,259,274.22/201,232.08
  6. Step 6: Final answer
    x = 80,232.03

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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.