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Finding the Fourth Proportional to 200,992.69, 301,094.86 and 116,575.50

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Solution

The fourth proportional to 200,992.69, 301,094.86 and 116,575.50 is: 174,634.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,992.69 : 301,094.86 = 116,575.50 : x
  2. Step 2: Convert to fraction form
    200,992.69/301,094.86 = 116,575.50/x
  3. Step 3: Cross multiply
    200,992.69x = 301,094.86 × 116,575.50
  4. Step 4: Simplify right side
    200,992.69x = 35,100,283,851.93
  5. Step 5: Solve for x
    x = 35,100,283,851.93/200,992.69
  6. Step 6: Final answer
    x = 174,634.63

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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.