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Finding the Fourth Proportional to 150,072.84, 207,101.86 and 82,088.44

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Solution

The fourth proportional to 150,072.84, 207,101.86 and 82,088.44 is: 113,282.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,072.84 : 207,101.86 = 82,088.44 : x
  2. Step 2: Convert to fraction form
    150,072.84/207,101.86 = 82,088.44/x
  3. Step 3: Cross multiply
    150,072.84x = 207,101.86 × 82,088.44
  4. Step 4: Simplify right side
    150,072.84x = 17,000,668,608.50
  5. Step 5: Solve for x
    x = 17,000,668,608.50/150,072.84
  6. Step 6: Final answer
    x = 113,282.78

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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.