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Finding the Fourth Proportional to 100,149.53, 150,283.49 and 37,014.21

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Solution

The fourth proportional to 100,149.53, 150,283.49 and 37,014.21 is: 55,543.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,149.53 : 150,283.49 = 37,014.21 : x
  2. Step 2: Convert to fraction form
    100,149.53/150,283.49 = 37,014.21/x
  3. Step 3: Cross multiply
    100,149.53x = 150,283.49 × 37,014.21
  4. Step 4: Simplify right side
    100,149.53x = 5,562,624,473.32
  5. Step 5: Solve for x
    x = 5,562,624,473.32/100,149.53
  6. Step 6: Final answer
    x = 55,543.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.