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Finding the Fourth Proportional to 105,188.33, 145,172.31 and 59,249.47

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Solution

The fourth proportional to 105,188.33, 145,172.31 and 59,249.47 is: 81,771.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,188.33 : 145,172.31 = 59,249.47 : x
  2. Step 2: Convert to fraction form
    105,188.33/145,172.31 = 59,249.47/x
  3. Step 3: Cross multiply
    105,188.33x = 145,172.31 × 59,249.47
  4. Step 4: Simplify right side
    105,188.33x = 8,601,382,426.18
  5. Step 5: Solve for x
    x = 8,601,382,426.18/105,188.33
  6. Step 6: Final answer
    x = 81,771.26

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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.