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Finding the Fourth Proportional to 150,937.75, 208,074.61 and 105,474.63

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Solution

The fourth proportional to 150,937.75, 208,074.61 and 105,474.63 is: 145,401.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,937.75 : 208,074.61 = 105,474.63 : x
  2. Step 2: Convert to fraction form
    150,937.75/208,074.61 = 105,474.63/x
  3. Step 3: Cross multiply
    150,937.75x = 208,074.61 × 105,474.63
  4. Step 4: Simplify right side
    150,937.75x = 21,946,593,414.27
  5. Step 5: Solve for x
    x = 21,946,593,414.27/150,937.75
  6. Step 6: Final answer
    x = 145,401.62

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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.