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Finding the Fourth Proportional to 188,320.65, 282,481.44 and 46,166.55

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Solution

The fourth proportional to 188,320.65, 282,481.44 and 46,166.55 is: 69,249.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,320.65 : 282,481.44 = 46,166.55 : x
  2. Step 2: Convert to fraction form
    188,320.65/282,481.44 = 46,166.55/x
  3. Step 3: Cross multiply
    188,320.65x = 282,481.44 × 46,166.55
  4. Step 4: Simplify right side
    188,320.65x = 13,041,193,523.83
  5. Step 5: Solve for x
    x = 13,041,193,523.83/188,320.65
  6. Step 6: Final answer
    x = 69,249.94

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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.