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Finding the Fourth Proportional to 196,844.80, 294,829.80 and 161,852.80

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Solution

The fourth proportional to 196,844.80, 294,829.80 and 161,852.80 is: 242,419.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,844.80 : 294,829.80 = 161,852.80 : x
  2. Step 2: Convert to fraction form
    196,844.80/294,829.80 = 161,852.80/x
  3. Step 3: Cross multiply
    196,844.80x = 294,829.80 × 161,852.80
  4. Step 4: Simplify right side
    196,844.80x = 47,719,028,653.44
  5. Step 5: Solve for x
    x = 47,719,028,653.44/196,844.80
  6. Step 6: Final answer
    x = 242,419.55

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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.