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Finding the Fourth Proportional to 106,113.25, 146,457.09 and 60,821.60

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Solution

The fourth proportional to 106,113.25, 146,457.09 and 60,821.60 is: 83,945.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,113.25 : 146,457.09 = 60,821.60 : x
  2. Step 2: Convert to fraction form
    106,113.25/146,457.09 = 60,821.60/x
  3. Step 3: Cross multiply
    106,113.25x = 146,457.09 × 60,821.60
  4. Step 4: Simplify right side
    106,113.25x = 8,907,754,545.14
  5. Step 5: Solve for x
    x = 8,907,754,545.14/106,113.25
  6. Step 6: Final answer
    x = 83,945.73

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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.