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Finding the Fourth Proportional to 105,107.09, 145,048.19 and 57,361.50

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Solution

The fourth proportional to 105,107.09, 145,048.19 and 57,361.50 is: 79,159.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,107.09 : 145,048.19 = 57,361.50 : x
  2. Step 2: Convert to fraction form
    105,107.09/145,048.19 = 57,361.50/x
  3. Step 3: Cross multiply
    105,107.09x = 145,048.19 × 57,361.50
  4. Step 4: Simplify right side
    105,107.09x = 8,320,181,463.88
  5. Step 5: Solve for x
    x = 8,320,181,463.88/105,107.09
  6. Step 6: Final answer
    x = 79,159.09

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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.