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Finding the Fourth Proportional to 106,394.84, 146,825.36 and 58,647.16

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Solution

The fourth proportional to 106,394.84, 146,825.36 and 58,647.16 is: 80,933.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,394.84 : 146,825.36 = 58,647.16 : x
  2. Step 2: Convert to fraction form
    106,394.84/146,825.36 = 58,647.16/x
  3. Step 3: Cross multiply
    106,394.84x = 146,825.36 × 58,647.16
  4. Step 4: Simplify right side
    106,394.84x = 8,610,890,379.98
  5. Step 5: Solve for x
    x = 8,610,890,379.98/106,394.84
  6. Step 6: Final answer
    x = 80,933.35

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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.