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Finding the Fourth Proportional to 146,214.60, 219,321.90 and 35,406.60

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Solution

The fourth proportional to 146,214.60, 219,321.90 and 35,406.60 is: 53,109.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,214.60 : 219,321.90 = 35,406.60 : x
  2. Step 2: Convert to fraction form
    146,214.60/219,321.90 = 35,406.60/x
  3. Step 3: Cross multiply
    146,214.60x = 219,321.90 × 35,406.60
  4. Step 4: Simplify right side
    146,214.60x = 7,765,442,784.54
  5. Step 5: Solve for x
    x = 7,765,442,784.54/146,214.60
  6. Step 6: Final answer
    x = 53,109.90

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Why These Related Problems?

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