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Finding the Fourth Proportional to 106,009.72, 146,294.64 and 58,263.14

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Solution

The fourth proportional to 106,009.72, 146,294.64 and 58,263.14 is: 80,403.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,009.72 : 146,294.64 = 58,263.14 : x
  2. Step 2: Convert to fraction form
    106,009.72/146,294.64 = 58,263.14/x
  3. Step 3: Cross multiply
    106,009.72x = 146,294.64 × 58,263.14
  4. Step 4: Simplify right side
    106,009.72x = 8,523,585,457.31
  5. Step 5: Solve for x
    x = 8,523,585,457.31/106,009.72
  6. Step 6: Final answer
    x = 80,403.81

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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.