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Finding the Fourth Proportional to 150,370.98, 207,516.32 and 82,393.89

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Solution

The fourth proportional to 150,370.98, 207,516.32 and 82,393.89 is: 113,705.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,370.98 : 207,516.32 = 82,393.89 : x
  2. Step 2: Convert to fraction form
    150,370.98/207,516.32 = 82,393.89/x
  3. Step 3: Cross multiply
    150,370.98x = 207,516.32 × 82,393.89
  4. Step 4: Simplify right side
    150,370.98x = 17,098,076,431.32
  5. Step 5: Solve for x
    x = 17,098,076,431.32/150,370.98
  6. Step 6: Final answer
    x = 113,705.96

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1.5x scale

Why These Related Problems?

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