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Finding the Fourth Proportional to 150,063.40, 224,983.31 and 50,164.48

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Solution

The fourth proportional to 150,063.40, 224,983.31 and 50,164.48 is: 75,209.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,063.40 : 224,983.31 = 50,164.48 : x
  2. Step 2: Convert to fraction form
    150,063.40/224,983.31 = 50,164.48/x
  3. Step 3: Cross multiply
    150,063.40x = 224,983.31 × 50,164.48
  4. Step 4: Simplify right side
    150,063.40x = 11,286,170,754.83
  5. Step 5: Solve for x
    x = 11,286,170,754.83/150,063.40
  6. Step 6: Final answer
    x = 75,209.35

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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.