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Finding the Fourth Proportional to 223,828.52, 307,501.69 and 200,267.24

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Solution

The fourth proportional to 223,828.52, 307,501.69 and 200,267.24 is: 275,132.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,828.52 : 307,501.69 = 200,267.24 : x
  2. Step 2: Convert to fraction form
    223,828.52/307,501.69 = 200,267.24/x
  3. Step 3: Cross multiply
    223,828.52x = 307,501.69 × 200,267.24
  4. Step 4: Simplify right side
    223,828.52x = 61,582,514,751.64
  5. Step 5: Solve for x
    x = 61,582,514,751.64/223,828.52
  6. Step 6: Final answer
    x = 275,132.56

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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.