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Finding the Fourth Proportional to 219,457, 302,850.68 and 118,855

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Solution

The fourth proportional to 219,457, 302,850.68 and 118,855 is: 164,019.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,457 : 302,850.68 = 118,855 : x
  2. Step 2: Convert to fraction form
    219,457/302,850.68 = 118,855/x
  3. Step 3: Cross multiply
    219,457x = 302,850.68 × 118,855
  4. Step 4: Simplify right side
    219,457x = 35,995,317,571.40
  5. Step 5: Solve for x
    x = 35,995,317,571.40/219,457
  6. Step 6: Final answer
    x = 164,019.91

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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.