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Finding the Fourth Proportional to 201,093.22, 301,678.71 and 76,424.50

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Solution

The fourth proportional to 201,093.22, 301,678.71 and 76,424.50 is: 114,651.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,093.22 : 301,678.71 = 76,424.50 : x
  2. Step 2: Convert to fraction form
    201,093.22/301,678.71 = 76,424.50/x
  3. Step 3: Cross multiply
    201,093.22x = 301,678.71 × 76,424.50
  4. Step 4: Simplify right side
    201,093.22x = 23,055,644,572.40
  5. Step 5: Solve for x
    x = 23,055,644,572.40/201,093.22
  6. Step 6: Final answer
    x = 114,651.53

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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.