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Finding the Fourth Proportional to 159,809.76, 239,714.64 and 54,629.64

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Solution

The fourth proportional to 159,809.76, 239,714.64 and 54,629.64 is: 81,944.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,809.76 : 239,714.64 = 54,629.64 : x
  2. Step 2: Convert to fraction form
    159,809.76/239,714.64 = 54,629.64/x
  3. Step 3: Cross multiply
    159,809.76x = 239,714.64 × 54,629.64
  4. Step 4: Simplify right side
    159,809.76x = 13,095,524,485.93
  5. Step 5: Solve for x
    x = 13,095,524,485.93/159,809.76
  6. Step 6: Final answer
    x = 81,944.46

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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.