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Finding the Fourth Proportional to 192,024.40, 287,793.60 and 73,537.60

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Solution

The fourth proportional to 192,024.40, 287,793.60 and 73,537.60 is: 110,213.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,024.40 : 287,793.60 = 73,537.60 : x
  2. Step 2: Convert to fraction form
    192,024.40/287,793.60 = 73,537.60/x
  3. Step 3: Cross multiply
    192,024.40x = 287,793.60 × 73,537.60
  4. Step 4: Simplify right side
    192,024.40x = 21,163,650,639.36
  5. Step 5: Solve for x
    x = 21,163,650,639.36/192,024.40
  6. Step 6: Final answer
    x = 110,213.34

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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.