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Finding the Fourth Proportional to 150,148.60, 207,205.06 and 82,165.60

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Solution

The fourth proportional to 150,148.60, 207,205.06 and 82,165.60 is: 113,388.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,148.60 : 207,205.06 = 82,165.60 : x
  2. Step 2: Convert to fraction form
    150,148.60/207,205.06 = 82,165.60/x
  3. Step 3: Cross multiply
    150,148.60x = 207,205.06 × 82,165.60
  4. Step 4: Simplify right side
    150,148.60x = 17,025,128,077.94
  5. Step 5: Solve for x
    x = 17,025,128,077.94/150,148.60
  6. Step 6: Final answer
    x = 113,388.52

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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.