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Finding the Fourth Proportional to 188,074.84, 282,222.44 and 69,827.80

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Solution

The fourth proportional to 188,074.84, 282,222.44 and 69,827.80 is: 104,782.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,074.84 : 282,222.44 = 69,827.80 : x
  2. Step 2: Convert to fraction form
    188,074.84/282,222.44 = 69,827.80/x
  3. Step 3: Cross multiply
    188,074.84x = 282,222.44 × 69,827.80
  4. Step 4: Simplify right side
    188,074.84x = 19,706,972,095.83
  5. Step 5: Solve for x
    x = 19,706,972,095.83/188,074.84
  6. Step 6: Final answer
    x = 104,782.61

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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.