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Finding the Fourth Proportional to 200,992.81, 301,095.06 and 116,575.60

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Solution

The fourth proportional to 200,992.81, 301,095.06 and 116,575.60 is: 174,634.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,992.81 : 301,095.06 = 116,575.60 : x
  2. Step 2: Convert to fraction form
    200,992.81/301,095.06 = 116,575.60/x
  3. Step 3: Cross multiply
    200,992.81x = 301,095.06 × 116,575.60
  4. Step 4: Simplify right side
    200,992.81x = 35,100,337,276.54
  5. Step 5: Solve for x
    x = 35,100,337,276.54/200,992.81
  6. Step 6: Final answer
    x = 174,634.79

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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.