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Finding the Fourth Proportional to 201,408.80, 301,767.60 and 96,000.80

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Solution

The fourth proportional to 201,408.80, 301,767.60 and 96,000.80 is: 143,836.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,408.80 : 301,767.60 = 96,000.80 : x
  2. Step 2: Convert to fraction form
    201,408.80/301,767.60 = 96,000.80/x
  3. Step 3: Cross multiply
    201,408.80x = 301,767.60 × 96,000.80
  4. Step 4: Simplify right side
    201,408.80x = 28,969,931,014.08
  5. Step 5: Solve for x
    x = 28,969,931,014.08/201,408.80
  6. Step 6: Final answer
    x = 143,836.47

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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.