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Finding the Fourth Proportional to 294,024.52, 405,753.06 and 159,888.52

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Solution

The fourth proportional to 294,024.52, 405,753.06 and 159,888.52 is: 220,645.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,024.52 : 405,753.06 = 159,888.52 : x
  2. Step 2: Convert to fraction form
    294,024.52/405,753.06 = 159,888.52/x
  3. Step 3: Cross multiply
    294,024.52x = 405,753.06 × 159,888.52
  4. Step 4: Simplify right side
    294,024.52x = 64,875,256,248.87
  5. Step 5: Solve for x
    x = 64,875,256,248.87/294,024.52
  6. Step 6: Final answer
    x = 220,645.73

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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.