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Finding the Fourth Proportional to 192,323.16, 288,455.58 and 67,635

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Solution

The fourth proportional to 192,323.16, 288,455.58 and 67,635 is: 101,442.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,323.16 : 288,455.58 = 67,635 : x
  2. Step 2: Convert to fraction form
    192,323.16/288,455.58 = 67,635/x
  3. Step 3: Cross multiply
    192,323.16x = 288,455.58 × 67,635
  4. Step 4: Simplify right side
    192,323.16x = 19,509,693,153.30
  5. Step 5: Solve for x
    x = 19,509,693,153.30/192,323.16
  6. Step 6: Final answer
    x = 101,442.25

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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.