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Finding the Fourth Proportional to 192,047.20, 287,725.20 and 164,399.20

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Solution

The fourth proportional to 192,047.20, 287,725.20 and 164,399.20 is: 246,302.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,047.20 : 287,725.20 = 164,399.20 : x
  2. Step 2: Convert to fraction form
    192,047.20/287,725.20 = 164,399.20/x
  3. Step 3: Cross multiply
    192,047.20x = 287,725.20 × 164,399.20
  4. Step 4: Simplify right side
    192,047.20x = 47,301,792,699.84
  5. Step 5: Solve for x
    x = 47,301,792,699.84/192,047.20
  6. Step 6: Final answer
    x = 246,302.95

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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.