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Finding the Fourth Proportional to 106,014.96, 146,293.56 and 58,266

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Solution

The fourth proportional to 106,014.96, 146,293.56 and 58,266 is: 80,403.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,014.96 : 146,293.56 = 58,266 : x
  2. Step 2: Convert to fraction form
    106,014.96/146,293.56 = 58,266/x
  3. Step 3: Cross multiply
    106,014.96x = 146,293.56 × 58,266
  4. Step 4: Simplify right side
    106,014.96x = 8,523,940,566.96
  5. Step 5: Solve for x
    x = 8,523,940,566.96/106,014.96
  6. Step 6: Final answer
    x = 80,403.19

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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.