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Finding the Fourth Proportional to 100,079.84, 150,119.91 and 25,200

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Solution

The fourth proportional to 100,079.84, 150,119.91 and 25,200 is: 37,800.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,079.84 : 150,119.91 = 25,200 : x
  2. Step 2: Convert to fraction form
    100,079.84/150,119.91 = 25,200/x
  3. Step 3: Cross multiply
    100,079.84x = 150,119.91 × 25,200
  4. Step 4: Simplify right side
    100,079.84x = 3,783,021,732
  5. Step 5: Solve for x
    x = 3,783,021,732/100,079.84
  6. Step 6: Final answer
    x = 37,800.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.