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Finding the Fourth Proportional to 150,048, 207,072.72 and 82,980

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Solution

The fourth proportional to 150,048, 207,072.72 and 82,980 is: 114,515.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,048 : 207,072.72 = 82,980 : x
  2. Step 2: Convert to fraction form
    150,048/207,072.72 = 82,980/x
  3. Step 3: Cross multiply
    150,048x = 207,072.72 × 82,980
  4. Step 4: Simplify right side
    150,048x = 17,182,894,305.60
  5. Step 5: Solve for x
    x = 17,182,894,305.60/150,048
  6. Step 6: Final answer
    x = 114,515.98

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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.