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Finding the Fourth Proportional to 201,271.60, 301,561.80 and 131,114.80

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Solution

The fourth proportional to 201,271.60, 301,561.80 and 131,114.80 is: 196,447.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,271.60 : 301,561.80 = 131,114.80 : x
  2. Step 2: Convert to fraction form
    201,271.60/301,561.80 = 131,114.80/x
  3. Step 3: Cross multiply
    201,271.60x = 301,561.80 × 131,114.80
  4. Step 4: Simplify right side
    201,271.60x = 39,539,215,094.64
  5. Step 5: Solve for x
    x = 39,539,215,094.64/201,271.60
  6. Step 6: Final answer
    x = 196,447.07

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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.