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Finding the Fourth Proportional to 105,223.48, 145,202.52 and 59,912.53

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Solution

The fourth proportional to 105,223.48, 145,202.52 and 59,912.53 is: 82,675.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,223.48 : 145,202.52 = 59,912.53 : x
  2. Step 2: Convert to fraction form
    105,223.48/145,202.52 = 59,912.53/x
  3. Step 3: Cross multiply
    105,223.48x = 145,202.52 × 59,912.53
  4. Step 4: Simplify right side
    105,223.48x = 8,699,450,335.58
  5. Step 5: Solve for x
    x = 8,699,450,335.58/105,223.48
  6. Step 6: Final answer
    x = 82,675.94

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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.