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Finding the Fourth Proportional to 190,014.40, 284,843.40 and 71,765.20

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Solution

The fourth proportional to 190,014.40, 284,843.40 and 71,765.20 is: 107,580.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,014.40 : 284,843.40 = 71,765.20 : x
  2. Step 2: Convert to fraction form
    190,014.40/284,843.40 = 71,765.20/x
  3. Step 3: Cross multiply
    190,014.40x = 284,843.40 × 71,765.20
  4. Step 4: Simplify right side
    190,014.40x = 20,441,843,569.68
  5. Step 5: Solve for x
    x = 20,441,843,569.68/190,014.40
  6. Step 6: Final answer
    x = 107,580.50

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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.