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Finding the Fourth Proportional to 294,023.52, 405,751.68 and 159,887.52

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Solution

The fourth proportional to 294,023.52, 405,751.68 and 159,887.52 is: 220,644.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,023.52 : 405,751.68 = 159,887.52 : x
  2. Step 2: Convert to fraction form
    294,023.52/405,751.68 = 159,887.52/x
  3. Step 3: Cross multiply
    294,023.52x = 405,751.68 × 159,887.52
  4. Step 4: Simplify right side
    294,023.52x = 64,874,629,851.03
  5. Step 5: Solve for x
    x = 64,874,629,851.03/294,023.52
  6. Step 6: Final answer
    x = 220,644.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.