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Finding the Fourth Proportional to 146,446.40, 219,410.40 and 137,115.20

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Solution

The fourth proportional to 146,446.40, 219,410.40 and 137,115.20 is: 205,430.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,446.40 : 219,410.40 = 137,115.20 : x
  2. Step 2: Convert to fraction form
    146,446.40/219,410.40 = 137,115.20/x
  3. Step 3: Cross multiply
    146,446.40x = 219,410.40 × 137,115.20
  4. Step 4: Simplify right side
    146,446.40x = 30,084,500,878.08
  5. Step 5: Solve for x
    x = 30,084,500,878.08/146,446.40
  6. Step 6: Final answer
    x = 205,430.12

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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.