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Finding the Fourth Proportional to 105,189.70, 145,161.04 and 57,443.04

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Solution

The fourth proportional to 105,189.70, 145,161.04 and 57,443.04 is: 79,270.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,189.70 : 145,161.04 = 57,443.04 : x
  2. Step 2: Convert to fraction form
    105,189.70/145,161.04 = 57,443.04/x
  3. Step 3: Cross multiply
    105,189.70x = 145,161.04 × 57,443.04
  4. Step 4: Simplify right side
    105,189.70x = 8,338,491,427.16
  5. Step 5: Solve for x
    x = 8,338,491,427.16/105,189.70
  6. Step 6: Final answer
    x = 79,270.99

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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.