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Finding the Fourth Proportional to 196,804.80, 294,769.80 and 152,287.20

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Solution

The fourth proportional to 196,804.80, 294,769.80 and 152,287.20 is: 228,092.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,804.80 : 294,769.80 = 152,287.20 : x
  2. Step 2: Convert to fraction form
    196,804.80/294,769.80 = 152,287.20/x
  3. Step 3: Cross multiply
    196,804.80x = 294,769.80 × 152,287.20
  4. Step 4: Simplify right side
    196,804.80x = 44,889,667,486.56
  5. Step 5: Solve for x
    x = 44,889,667,486.56/196,804.80
  6. Step 6: Final answer
    x = 228,092.34

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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.