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Finding the Fourth Proportional to 150,104.30, 224,609.70 and 110,738.30

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Solution

The fourth proportional to 150,104.30, 224,609.70 and 110,738.30 is: 165,704.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,104.30 : 224,609.70 = 110,738.30 : x
  2. Step 2: Convert to fraction form
    150,104.30/224,609.70 = 110,738.30/x
  3. Step 3: Cross multiply
    150,104.30x = 224,609.70 × 110,738.30
  4. Step 4: Simplify right side
    150,104.30x = 24,872,896,341.51
  5. Step 5: Solve for x
    x = 24,872,896,341.51/150,104.30
  6. Step 6: Final answer
    x = 165,704.09

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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.