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Finding the Fourth Proportional to 160,978.46, 241,467.69 and 55,797.43

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Solution

The fourth proportional to 160,978.46, 241,467.69 and 55,797.43 is: 83,696.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,978.46 : 241,467.69 = 55,797.43 : x
  2. Step 2: Convert to fraction form
    160,978.46/241,467.69 = 55,797.43/x
  3. Step 3: Cross multiply
    160,978.46x = 241,467.69 × 55,797.43
  4. Step 4: Simplify right side
    160,978.46x = 13,473,275,926.37
  5. Step 5: Solve for x
    x = 13,473,275,926.37/160,978.46
  6. Step 6: Final answer
    x = 83,696.14

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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.