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Finding the Fourth Proportional to 235,930.80, 353,916.24 and 208,177.77

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Solution

The fourth proportional to 235,930.80, 353,916.24 and 208,177.77 is: 312,284.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,930.80 : 353,916.24 = 208,177.77 : x
  2. Step 2: Convert to fraction form
    235,930.80/353,916.24 = 208,177.77/x
  3. Step 3: Cross multiply
    235,930.80x = 353,916.24 × 208,177.77
  4. Step 4: Simplify right side
    235,930.80x = 73,677,493,609.98
  5. Step 5: Solve for x
    x = 73,677,493,609.98/235,930.80
  6. Step 6: Final answer
    x = 312,284.34

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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.