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Finding the Fourth Proportional to 105,989.40, 146,273.52 and 60,681.60

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Solution

The fourth proportional to 105,989.40, 146,273.52 and 60,681.60 is: 83,745.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,989.40 : 146,273.52 = 60,681.60 : x
  2. Step 2: Convert to fraction form
    105,989.40/146,273.52 = 60,681.60/x
  3. Step 3: Cross multiply
    105,989.40x = 146,273.52 × 60,681.60
  4. Step 4: Simplify right side
    105,989.40x = 8,876,111,231.23
  5. Step 5: Solve for x
    x = 8,876,111,231.23/105,989.40
  6. Step 6: Final answer
    x = 83,745.27

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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.