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Finding the Fourth Proportional to 201,741.60, 302,709.60 and 142,449.60

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Solution

The fourth proportional to 201,741.60, 302,709.60 and 142,449.60 is: 213,743.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,741.60 : 302,709.60 = 142,449.60 : x
  2. Step 2: Convert to fraction form
    201,741.60/302,709.60 = 142,449.60/x
  3. Step 3: Cross multiply
    201,741.60x = 302,709.60 × 142,449.60
  4. Step 4: Simplify right side
    201,741.60x = 43,120,861,436.16
  5. Step 5: Solve for x
    x = 43,120,861,436.16/201,741.60
  6. Step 6: Final answer
    x = 213,743.03

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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.