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Finding the Fourth Proportional to 142,452.53, 213,727.56 and 53,731.41

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Solution

The fourth proportional to 142,452.53, 213,727.56 and 53,731.41 is: 80,615.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,452.53 : 213,727.56 = 53,731.41 : x
  2. Step 2: Convert to fraction form
    142,452.53/213,727.56 = 53,731.41/x
  3. Step 3: Cross multiply
    142,452.53x = 213,727.56 × 53,731.41
  4. Step 4: Simplify right side
    142,452.53x = 11,483,883,154.66
  5. Step 5: Solve for x
    x = 11,483,883,154.66/142,452.53
  6. Step 6: Final answer
    x = 80,615.51

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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.