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Finding the Fourth Proportional to 149,412.20, 224,157.90 and 65,136.20

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Solution

The fourth proportional to 149,412.20, 224,157.90 and 65,136.20 is: 97,721.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,412.20 : 224,157.90 = 65,136.20 : x
  2. Step 2: Convert to fraction form
    149,412.20/224,157.90 = 65,136.20/x
  3. Step 3: Cross multiply
    149,412.20x = 224,157.90 × 65,136.20
  4. Step 4: Simplify right side
    149,412.20x = 14,600,793,805.98
  5. Step 5: Solve for x
    x = 14,600,793,805.98/149,412.20
  6. Step 6: Final answer
    x = 97,721.56

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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.