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Finding the Fourth Proportional to 105,201.90, 157,804.19 and 35,081.19

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Solution

The fourth proportional to 105,201.90, 157,804.19 and 35,081.19 is: 52,622.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,201.90 : 157,804.19 = 35,081.19 : x
  2. Step 2: Convert to fraction form
    105,201.90/157,804.19 = 35,081.19/x
  3. Step 3: Cross multiply
    105,201.90x = 157,804.19 × 35,081.19
  4. Step 4: Simplify right side
    105,201.90x = 5,535,958,772.19
  5. Step 5: Solve for x
    x = 5,535,958,772.19/105,201.90
  6. Step 6: Final answer
    x = 52,622.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.