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Finding the Fourth Proportional to 100,316.30, 150,494.12 and 37,136.90

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Solution

The fourth proportional to 100,316.30, 150,494.12 and 37,136.90 is: 55,712.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,316.30 : 150,494.12 = 37,136.90 : x
  2. Step 2: Convert to fraction form
    100,316.30/150,494.12 = 37,136.90/x
  3. Step 3: Cross multiply
    100,316.30x = 150,494.12 × 37,136.90
  4. Step 4: Simplify right side
    100,316.30x = 5,588,885,414.84
  5. Step 5: Solve for x
    x = 5,588,885,414.84/100,316.30
  6. Step 6: Final answer
    x = 55,712.64

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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.