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Finding the Fourth Proportional to 105,860.40, 146,087.96 and 58,114.12

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Solution

The fourth proportional to 105,860.40, 146,087.96 and 58,114.12 is: 80,197.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,860.40 : 146,087.96 = 58,114.12 : x
  2. Step 2: Convert to fraction form
    105,860.40/146,087.96 = 58,114.12/x
  3. Step 3: Cross multiply
    105,860.40x = 146,087.96 × 58,114.12
  4. Step 4: Simplify right side
    105,860.40x = 8,489,773,238.00
  5. Step 5: Solve for x
    x = 8,489,773,238.00/105,860.40
  6. Step 6: Final answer
    x = 80,197.82

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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.