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Finding the Fourth Proportional to 159,828.88, 239,743.44 and 54,648.64

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Solution

The fourth proportional to 159,828.88, 239,743.44 and 54,648.64 is: 81,973.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,828.88 : 239,743.44 = 54,648.64 : x
  2. Step 2: Convert to fraction form
    159,828.88/239,743.44 = 54,648.64/x
  3. Step 3: Cross multiply
    159,828.88x = 239,743.44 × 54,648.64
  4. Step 4: Simplify right side
    159,828.88x = 13,101,652,944.92
  5. Step 5: Solve for x
    x = 13,101,652,944.92/159,828.88
  6. Step 6: Final answer
    x = 81,973.00

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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.