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Finding the Fourth Proportional to 192,438.40, 288,664.20 and 59,317.60

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Solution

The fourth proportional to 192,438.40, 288,664.20 and 59,317.60 is: 88,978.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,438.40 : 288,664.20 = 59,317.60 : x
  2. Step 2: Convert to fraction form
    192,438.40/288,664.20 = 59,317.60/x
  3. Step 3: Cross multiply
    192,438.40x = 288,664.20 × 59,317.60
  4. Step 4: Simplify right side
    192,438.40x = 17,122,867,549.92
  5. Step 5: Solve for x
    x = 17,122,867,549.92/192,438.40
  6. Step 6: Final answer
    x = 88,978.43

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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.