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Finding the Fourth Proportional to 150,431.58, 207,598.14 and 82,447.20

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Solution

The fourth proportional to 150,431.58, 207,598.14 and 82,447.20 is: 113,778.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,431.58 : 207,598.14 = 82,447.20 : x
  2. Step 2: Convert to fraction form
    150,431.58/207,598.14 = 82,447.20/x
  3. Step 3: Cross multiply
    150,431.58x = 207,598.14 × 82,447.20
  4. Step 4: Simplify right side
    150,431.58x = 17,115,885,368.21
  5. Step 5: Solve for x
    x = 17,115,885,368.21/150,431.58
  6. Step 6: Final answer
    x = 113,778.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.