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Finding the Fourth Proportional to 192,497.10, 288,417.60 and 164,284.80

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Solution

The fourth proportional to 192,497.10, 288,417.60 and 164,284.80 is: 246,147.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,497.10 : 288,417.60 = 164,284.80 : x
  2. Step 2: Convert to fraction form
    192,497.10/288,417.60 = 164,284.80/x
  3. Step 3: Cross multiply
    192,497.10x = 288,417.60 × 164,284.80
  4. Step 4: Simplify right side
    192,497.10x = 47,382,627,732.48
  5. Step 5: Solve for x
    x = 47,382,627,732.48/192,497.10
  6. Step 6: Final answer
    x = 246,147.23

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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.