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Finding the Fourth Proportional to 201,414.70, 302,122.05 and 122,682.70

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Solution

The fourth proportional to 201,414.70, 302,122.05 and 122,682.70 is: 184,024.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,414.70 : 302,122.05 = 122,682.70 : x
  2. Step 2: Convert to fraction form
    201,414.70/302,122.05 = 122,682.70/x
  3. Step 3: Cross multiply
    201,414.70x = 302,122.05 × 122,682.70
  4. Step 4: Simplify right side
    201,414.70x = 37,065,148,823.54
  5. Step 5: Solve for x
    x = 37,065,148,823.54/201,414.70
  6. Step 6: Final answer
    x = 184,024.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.