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Finding the Fourth Proportional to 105,993.18, 146,124.42 and 84,555.66

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Solution

The fourth proportional to 105,993.18, 146,124.42 and 84,555.66 is: 116,570.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,993.18 : 146,124.42 = 84,555.66 : x
  2. Step 2: Convert to fraction form
    105,993.18/146,124.42 = 84,555.66/x
  3. Step 3: Cross multiply
    105,993.18x = 146,124.42 × 84,555.66
  4. Step 4: Simplify right side
    105,993.18x = 12,355,646,775.22
  5. Step 5: Solve for x
    x = 12,355,646,775.22/105,993.18
  6. Step 6: Final answer
    x = 116,570.21

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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.