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Finding the Fourth Proportional to 159,976.96, 240,014.96 and 96,006.54

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Solution

The fourth proportional to 159,976.96, 240,014.96 and 96,006.54 is: 144,039.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,976.96 : 240,014.96 = 96,006.54 : x
  2. Step 2: Convert to fraction form
    159,976.96/240,014.96 = 96,006.54/x
  3. Step 3: Cross multiply
    159,976.96x = 240,014.96 × 96,006.54
  4. Step 4: Simplify right side
    159,976.96x = 23,043,005,857.84
  5. Step 5: Solve for x
    x = 23,043,005,857.84/159,976.96
  6. Step 6: Final answer
    x = 144,039.53

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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.