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Finding the Fourth Proportional to 188,058.44, 282,114 and 54,948.44

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Solution

The fourth proportional to 188,058.44, 282,114 and 54,948.44 is: 82,430.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,058.44 : 282,114 = 54,948.44 : x
  2. Step 2: Convert to fraction form
    188,058.44/282,114 = 54,948.44/x
  3. Step 3: Cross multiply
    188,058.44x = 282,114 × 54,948.44
  4. Step 4: Simplify right side
    188,058.44x = 15,501,724,202.16
  5. Step 5: Solve for x
    x = 15,501,724,202.16/188,058.44
  6. Step 6: Final answer
    x = 82,430.36

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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.