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Finding the Fourth Proportional to 105,107.36, 145,051.65 and 57,363.30

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Solution

The fourth proportional to 105,107.36, 145,051.65 and 57,363.30 is: 79,163.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,107.36 : 145,051.65 = 57,363.30 : x
  2. Step 2: Convert to fraction form
    105,107.36/145,051.65 = 57,363.30/x
  3. Step 3: Cross multiply
    105,107.36x = 145,051.65 × 57,363.30
  4. Step 4: Simplify right side
    105,107.36x = 8,320,641,314.45
  5. Step 5: Solve for x
    x = 8,320,641,314.45/105,107.36
  6. Step 6: Final answer
    x = 79,163.26

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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.