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Finding the Fourth Proportional to 230,819.40, 346,275.90 and 131,027.40

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Solution

The fourth proportional to 230,819.40, 346,275.90 and 131,027.40 is: 196,567.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,819.40 : 346,275.90 = 131,027.40 : x
  2. Step 2: Convert to fraction form
    230,819.40/346,275.90 = 131,027.40/x
  3. Step 3: Cross multiply
    230,819.40x = 346,275.90 × 131,027.40
  4. Step 4: Simplify right side
    230,819.40x = 45,371,630,859.66
  5. Step 5: Solve for x
    x = 45,371,630,859.66/230,819.40
  6. Step 6: Final answer
    x = 196,567.67

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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.