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Finding the Fourth Proportional to 106,380.30, 146,802.87 and 58,632.42

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Solution

The fourth proportional to 106,380.30, 146,802.87 and 58,632.42 is: 80,911.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,380.30 : 146,802.87 = 58,632.42 : x
  2. Step 2: Convert to fraction form
    106,380.30/146,802.87 = 58,632.42/x
  3. Step 3: Cross multiply
    106,380.30x = 146,802.87 × 58,632.42
  4. Step 4: Simplify right side
    106,380.30x = 8,607,407,531.05
  5. Step 5: Solve for x
    x = 8,607,407,531.05/106,380.30
  6. Step 6: Final answer
    x = 80,911.67

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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.