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Finding the Fourth Proportional to 159,830.88, 239,746.44 and 54,650.64

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Solution

The fourth proportional to 159,830.88, 239,746.44 and 54,650.64 is: 81,976.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,830.88 : 239,746.44 = 54,650.64 : x
  2. Step 2: Convert to fraction form
    159,830.88/239,746.44 = 54,650.64/x
  3. Step 3: Cross multiply
    159,830.88x = 239,746.44 × 54,650.64
  4. Step 4: Simplify right side
    159,830.88x = 13,102,296,383.72
  5. Step 5: Solve for x
    x = 13,102,296,383.72/159,830.88
  6. Step 6: Final answer
    x = 81,976.00

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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.