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Finding the Fourth Proportional to 150,213.40, 224,736.90 and 97,725.40

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Solution

The fourth proportional to 150,213.40, 224,736.90 and 97,725.40 is: 146,208.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,213.40 : 224,736.90 = 97,725.40 : x
  2. Step 2: Convert to fraction form
    150,213.40/224,736.90 = 97,725.40/x
  3. Step 3: Cross multiply
    150,213.40x = 224,736.90 × 97,725.40
  4. Step 4: Simplify right side
    150,213.40x = 21,962,503,447.26
  5. Step 5: Solve for x
    x = 21,962,503,447.26/150,213.40
  6. Step 6: Final answer
    x = 146,208.68

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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.