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Finding the Fourth Proportional to 312,806.56, 469,110.75 and 113,100.52

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Solution

The fourth proportional to 312,806.56, 469,110.75 and 113,100.52 is: 169,614.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,806.56 : 469,110.75 = 113,100.52 : x
  2. Step 2: Convert to fraction form
    312,806.56/469,110.75 = 113,100.52/x
  3. Step 3: Cross multiply
    312,806.56x = 469,110.75 × 113,100.52
  4. Step 4: Simplify right side
    312,806.56x = 53,056,669,762.59
  5. Step 5: Solve for x
    x = 53,056,669,762.59/312,806.56
  6. Step 6: Final answer
    x = 169,614.95

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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.