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Finding the Fourth Proportional to 311,103.42, 466,729.65 and 100,741.74

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Solution

The fourth proportional to 311,103.42, 466,729.65 and 100,741.74 is: 151,136.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,103.42 : 466,729.65 = 100,741.74 : x
  2. Step 2: Convert to fraction form
    311,103.42/466,729.65 = 100,741.74/x
  3. Step 3: Cross multiply
    311,103.42x = 466,729.65 × 100,741.74
  4. Step 4: Simplify right side
    311,103.42x = 47,019,157,050.59
  5. Step 5: Solve for x
    x = 47,019,157,050.59/311,103.42
  6. Step 6: Final answer
    x = 151,136.74

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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.