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Finding the Fourth Proportional to 197,136.60, 295,704.90 and 64,021.20

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Solution

The fourth proportional to 197,136.60, 295,704.90 and 64,021.20 is: 96,031.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,136.60 : 295,704.90 = 64,021.20 : x
  2. Step 2: Convert to fraction form
    197,136.60/295,704.90 = 64,021.20/x
  3. Step 3: Cross multiply
    197,136.60x = 295,704.90 × 64,021.20
  4. Step 4: Simplify right side
    197,136.60x = 18,931,382,543.88
  5. Step 5: Solve for x
    x = 18,931,382,543.88/197,136.60
  6. Step 6: Final answer
    x = 96,031.80

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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.