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Finding the Fourth Proportional to 160,028, 239,989.22 and 53,382.56

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Solution

The fourth proportional to 160,028, 239,989.22 and 53,382.56 is: 80,056.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,028 : 239,989.22 = 53,382.56 : x
  2. Step 2: Convert to fraction form
    160,028/239,989.22 = 53,382.56/x
  3. Step 3: Cross multiply
    160,028x = 239,989.22 × 53,382.56
  4. Step 4: Simplify right side
    160,028x = 12,811,238,936.00
  5. Step 5: Solve for x
    x = 12,811,238,936.00/160,028
  6. Step 6: Final answer
    x = 80,056.23

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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.