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Finding the Fourth Proportional to 119,212.99, 178,819.02 and 30,466.35

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Solution

The fourth proportional to 119,212.99, 178,819.02 and 30,466.35 is: 45,699.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,212.99 : 178,819.02 = 30,466.35 : x
  2. Step 2: Convert to fraction form
    119,212.99/178,819.02 = 30,466.35/x
  3. Step 3: Cross multiply
    119,212.99x = 178,819.02 × 30,466.35
  4. Step 4: Simplify right side
    119,212.99x = 5,447,962,849.98
  5. Step 5: Solve for x
    x = 5,447,962,849.98/119,212.99
  6. Step 6: Final answer
    x = 45,699.41

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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.