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Finding the Fourth Proportional to 146,830.56, 202,626.72 and 83,180.16

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Solution

The fourth proportional to 146,830.56, 202,626.72 and 83,180.16 is: 114,788.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,830.56 : 202,626.72 = 83,180.16 : x
  2. Step 2: Convert to fraction form
    146,830.56/202,626.72 = 83,180.16/x
  3. Step 3: Cross multiply
    146,830.56x = 202,626.72 × 83,180.16
  4. Step 4: Simplify right side
    146,830.56x = 16,854,522,989.88
  5. Step 5: Solve for x
    x = 16,854,522,989.88/146,830.56
  6. Step 6: Final answer
    x = 114,788.93

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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.