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Finding the Fourth Proportional to 200,364.77, 300,657.83 and 111,668.26

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Solution

The fourth proportional to 200,364.77, 300,657.83 and 111,668.26 is: 167,564.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,364.77 : 300,657.83 = 111,668.26 : x
  2. Step 2: Convert to fraction form
    200,364.77/300,657.83 = 111,668.26/x
  3. Step 3: Cross multiply
    200,364.77x = 300,657.83 × 111,668.26
  4. Step 4: Simplify right side
    200,364.77x = 33,573,936,731.48
  5. Step 5: Solve for x
    x = 33,573,936,731.48/200,364.77
  6. Step 6: Final answer
    x = 167,564.07

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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.