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Finding the Fourth Proportional to 218,774, 301,908.24 and 118,172

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Solution

The fourth proportional to 218,774, 301,908.24 and 118,172 is: 163,077.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,774 : 301,908.24 = 118,172 : x
  2. Step 2: Convert to fraction form
    218,774/301,908.24 = 118,172/x
  3. Step 3: Cross multiply
    218,774x = 301,908.24 × 118,172
  4. Step 4: Simplify right side
    218,774x = 35,677,100,537.28
  5. Step 5: Solve for x
    x = 35,677,100,537.28/218,774
  6. Step 6: Final answer
    x = 163,077.42

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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.