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Finding the Fourth Proportional to 150,297.26, 224,119.64 and 148,947.47

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Solution

The fourth proportional to 150,297.26, 224,119.64 and 148,947.47 is: 222,106.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,297.26 : 224,119.64 = 148,947.47 : x
  2. Step 2: Convert to fraction form
    150,297.26/224,119.64 = 148,947.47/x
  3. Step 3: Cross multiply
    150,297.26x = 224,119.64 × 148,947.47
  4. Step 4: Simplify right side
    150,297.26x = 33,382,051,489.98
  5. Step 5: Solve for x
    x = 33,382,051,489.98/150,297.26
  6. Step 6: Final answer
    x = 222,106.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.