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Finding the Fourth Proportional to 221,619, 305,834.22 and 121,017

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Solution

The fourth proportional to 221,619, 305,834.22 and 121,017 is: 167,003.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,619 : 305,834.22 = 121,017 : x
  2. Step 2: Convert to fraction form
    221,619/305,834.22 = 121,017/x
  3. Step 3: Cross multiply
    221,619x = 305,834.22 × 121,017
  4. Step 4: Simplify right side
    221,619x = 37,011,139,801.74
  5. Step 5: Solve for x
    x = 37,011,139,801.74/221,619
  6. Step 6: Final answer
    x = 167,003.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.