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Finding the Fourth Proportional to 206,873.60, 310,310.40 and 146,512.40

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Solution

The fourth proportional to 206,873.60, 310,310.40 and 146,512.40 is: 219,768.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,873.60 : 310,310.40 = 146,512.40 : x
  2. Step 2: Convert to fraction form
    206,873.60/310,310.40 = 146,512.40/x
  3. Step 3: Cross multiply
    206,873.60x = 310,310.40 × 146,512.40
  4. Step 4: Simplify right side
    206,873.60x = 45,464,321,448.96
  5. Step 5: Solve for x
    x = 45,464,321,448.96/206,873.60
  6. Step 6: Final answer
    x = 219,768.60

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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.