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Finding the Fourth Proportional to 209,255.55, 313,884.24 and 51,483.56

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Solution

The fourth proportional to 209,255.55, 313,884.24 and 51,483.56 is: 77,225.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,255.55 : 313,884.24 = 51,483.56 : x
  2. Step 2: Convert to fraction form
    209,255.55/313,884.24 = 51,483.56/x
  3. Step 3: Cross multiply
    209,255.55x = 313,884.24 × 51,483.56
  4. Step 4: Simplify right side
    209,255.55x = 16,159,876,533.67
  5. Step 5: Solve for x
    x = 16,159,876,533.67/209,255.55
  6. Step 6: Final answer
    x = 77,225.56

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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.