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Finding the Fourth Proportional to 223,826.52, 307,498.95 and 200,265.24

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Solution

The fourth proportional to 223,826.52, 307,498.95 and 200,265.24 is: 275,129.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,826.52 : 307,498.95 = 200,265.24 : x
  2. Step 2: Convert to fraction form
    223,826.52/307,498.95 = 200,265.24/x
  3. Step 3: Cross multiply
    223,826.52x = 307,498.95 × 200,265.24
  4. Step 4: Simplify right side
    223,826.52x = 61,581,351,021.50
  5. Step 5: Solve for x
    x = 61,581,351,021.50/223,826.52
  6. Step 6: Final answer
    x = 275,129.82

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.