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Finding the Fourth Proportional to 200,917.80, 301,607.10 and 117,858.60

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Solution

The fourth proportional to 200,917.80, 301,607.10 and 117,858.60 is: 176,923.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,917.80 : 301,607.10 = 117,858.60 : x
  2. Step 2: Convert to fraction form
    200,917.80/301,607.10 = 117,858.60/x
  3. Step 3: Cross multiply
    200,917.80x = 301,607.10 × 117,858.60
  4. Step 4: Simplify right side
    200,917.80x = 35,546,990,556.06
  5. Step 5: Solve for x
    x = 35,546,990,556.06/200,917.80
  6. Step 6: Final answer
    x = 176,923.05

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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.