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Finding the Fourth Proportional to 142,335.36, 213,525 and 47,536.20

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Solution

The fourth proportional to 142,335.36, 213,525 and 47,536.20 is: 71,311.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,335.36 : 213,525 = 47,536.20 : x
  2. Step 2: Convert to fraction form
    142,335.36/213,525 = 47,536.20/x
  3. Step 3: Cross multiply
    142,335.36x = 213,525 × 47,536.20
  4. Step 4: Simplify right side
    142,335.36x = 10,150,167,105
  5. Step 5: Solve for x
    x = 10,150,167,105/142,335.36
  6. Step 6: Final answer
    x = 71,311.63

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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.