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Finding the Fourth Proportional to 196,014.80, 293,584.80 and 151,497.20

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Solution

The fourth proportional to 196,014.80, 293,584.80 and 151,497.20 is: 226,907.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,014.80 : 293,584.80 = 151,497.20 : x
  2. Step 2: Convert to fraction form
    196,014.80/293,584.80 = 151,497.20/x
  3. Step 3: Cross multiply
    196,014.80x = 293,584.80 × 151,497.20
  4. Step 4: Simplify right side
    196,014.80x = 44,477,275,162.56
  5. Step 5: Solve for x
    x = 44,477,275,162.56/196,014.80
  6. Step 6: Final answer
    x = 226,907.74

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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.