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Finding the Fourth Proportional to 105,892.98, 146,133.34 and 58,147.36

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Solution

The fourth proportional to 105,892.98, 146,133.34 and 58,147.36 is: 80,243.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,892.98 : 146,133.34 = 58,147.36 : x
  2. Step 2: Convert to fraction form
    105,892.98/146,133.34 = 58,147.36/x
  3. Step 3: Cross multiply
    105,892.98x = 146,133.34 × 58,147.36
  4. Step 4: Simplify right side
    105,892.98x = 8,497,267,928.98
  5. Step 5: Solve for x
    x = 8,497,267,928.98/105,892.98
  6. Step 6: Final answer
    x = 80,243.92

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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.