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Finding the Fourth Proportional to 150,142.96, 224,765.72 and 90,799.12

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Solution

The fourth proportional to 150,142.96, 224,765.72 and 90,799.12 is: 135,927.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,142.96 : 224,765.72 = 90,799.12 : x
  2. Step 2: Convert to fraction form
    150,142.96/224,765.72 = 90,799.12/x
  3. Step 3: Cross multiply
    150,142.96x = 224,765.72 × 90,799.12
  4. Step 4: Simplify right side
    150,142.96x = 20,408,529,582.17
  5. Step 5: Solve for x
    x = 20,408,529,582.17/150,142.96
  6. Step 6: Final answer
    x = 135,927.32

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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.