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Finding the Fourth Proportional to 219,450, 302,841 and 118,848

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Solution

The fourth proportional to 219,450, 302,841 and 118,848 is: 164,010.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,450 : 302,841 = 118,848 : x
  2. Step 2: Convert to fraction form
    219,450/302,841 = 118,848/x
  3. Step 3: Cross multiply
    219,450x = 302,841 × 118,848
  4. Step 4: Simplify right side
    219,450x = 35,992,047,168
  5. Step 5: Solve for x
    x = 35,992,047,168/219,450
  6. Step 6: Final answer
    x = 164,010.24

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Why These Related Problems?

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