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Finding the Fourth Proportional to 160,959.20, 241,438.80 and 118,968.80

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Solution

The fourth proportional to 160,959.20, 241,438.80 and 118,968.80 is: 178,453.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,959.20 : 241,438.80 = 118,968.80 : x
  2. Step 2: Convert to fraction form
    160,959.20/241,438.80 = 118,968.80/x
  3. Step 3: Cross multiply
    160,959.20x = 241,438.80 × 118,968.80
  4. Step 4: Simplify right side
    160,959.20x = 28,723,684,309.44
  5. Step 5: Solve for x
    x = 28,723,684,309.44/160,959.20
  6. Step 6: Final answer
    x = 178,453.20

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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.