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Finding the Fourth Proportional to 105,542.40, 145,647.47 and 57,144.09

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Solution

The fourth proportional to 105,542.40, 145,647.47 and 57,144.09 is: 78,858.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,542.40 : 145,647.47 = 57,144.09 : x
  2. Step 2: Convert to fraction form
    105,542.40/145,647.47 = 57,144.09/x
  3. Step 3: Cross multiply
    105,542.40x = 145,647.47 × 57,144.09
  4. Step 4: Simplify right side
    105,542.40x = 8,322,892,276.81
  5. Step 5: Solve for x
    x = 8,322,892,276.81/105,542.40
  6. Step 6: Final answer
    x = 78,858.28

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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.