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Finding the Fourth Proportional to 150,138.01, 225,174.21 and 50,312.40

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Solution

The fourth proportional to 150,138.01, 225,174.21 and 50,312.40 is: 75,457.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,138.01 : 225,174.21 = 50,312.40 : x
  2. Step 2: Convert to fraction form
    150,138.01/225,174.21 = 50,312.40/x
  3. Step 3: Cross multiply
    150,138.01x = 225,174.21 × 50,312.40
  4. Step 4: Simplify right side
    150,138.01x = 11,329,054,923.20
  5. Step 5: Solve for x
    x = 11,329,054,923.20/150,138.01
  6. Step 6: Final answer
    x = 75,457.61

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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.