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Finding the Fourth Proportional to 105,513.86, 145,623 and 60,181.44

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Solution

The fourth proportional to 105,513.86, 145,623 and 60,181.44 is: 83,058.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,513.86 : 145,623 = 60,181.44 : x
  2. Step 2: Convert to fraction form
    105,513.86/145,623 = 60,181.44/x
  3. Step 3: Cross multiply
    105,513.86x = 145,623 × 60,181.44
  4. Step 4: Simplify right side
    105,513.86x = 8,763,801,837.12
  5. Step 5: Solve for x
    x = 8,763,801,837.12/105,513.86
  6. Step 6: Final answer
    x = 83,058.30

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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.