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Finding the Fourth Proportional to 150,011.70, 207,022.58 and 82,024.62

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Solution

The fourth proportional to 150,011.70, 207,022.58 and 82,024.62 is: 113,197.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,011.70 : 207,022.58 = 82,024.62 : x
  2. Step 2: Convert to fraction form
    150,011.70/207,022.58 = 82,024.62/x
  3. Step 3: Cross multiply
    150,011.70x = 207,022.58 × 82,024.62
  4. Step 4: Simplify right side
    150,011.70x = 16,980,948,455.92
  5. Step 5: Solve for x
    x = 16,980,948,455.92/150,011.70
  6. Step 6: Final answer
    x = 113,197.49

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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.