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Finding the Fourth Proportional to 146,575.70, 219,863.55 and 130,829.30

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Solution

The fourth proportional to 146,575.70, 219,863.55 and 130,829.30 is: 196,243.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,575.70 : 219,863.55 = 130,829.30 : x
  2. Step 2: Convert to fraction form
    146,575.70/219,863.55 = 130,829.30/x
  3. Step 3: Cross multiply
    146,575.70x = 219,863.55 × 130,829.30
  4. Step 4: Simplify right side
    146,575.70x = 28,764,594,342.02
  5. Step 5: Solve for x
    x = 28,764,594,342.02/146,575.70
  6. Step 6: Final answer
    x = 196,243.95

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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.