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Finding the Fourth Proportional to 148,567.98, 205,022.62 and 80,584.79

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Solution

The fourth proportional to 148,567.98, 205,022.62 and 80,584.79 is: 111,206.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,567.98 : 205,022.62 = 80,584.79 : x
  2. Step 2: Convert to fraction form
    148,567.98/205,022.62 = 80,584.79/x
  3. Step 3: Cross multiply
    148,567.98x = 205,022.62 × 80,584.79
  4. Step 4: Simplify right side
    148,567.98x = 16,521,703,551.37
  5. Step 5: Solve for x
    x = 16,521,703,551.37/148,567.98
  6. Step 6: Final answer
    x = 111,206.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.