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Finding the Fourth Proportional to 165,416.40, 248,052.60 and 76,640.40

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Solution

The fourth proportional to 165,416.40, 248,052.60 and 76,640.40 is: 114,927.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,416.40 : 248,052.60 = 76,640.40 : x
  2. Step 2: Convert to fraction form
    165,416.40/248,052.60 = 76,640.40/x
  3. Step 3: Cross multiply
    165,416.40x = 248,052.60 × 76,640.40
  4. Step 4: Simplify right side
    165,416.40x = 19,010,850,485.04
  5. Step 5: Solve for x
    x = 19,010,850,485.04/165,416.40
  6. Step 6: Final answer
    x = 114,927.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.