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Finding the Fourth Proportional to 196,732.80, 294,661.80 and 152,215.20

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Solution

The fourth proportional to 196,732.80, 294,661.80 and 152,215.20 is: 227,984.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,732.80 : 294,661.80 = 152,215.20 : x
  2. Step 2: Convert to fraction form
    196,732.80/294,661.80 = 152,215.20/x
  3. Step 3: Cross multiply
    196,732.80x = 294,661.80 × 152,215.20
  4. Step 4: Simplify right side
    196,732.80x = 44,852,004,819.36
  5. Step 5: Solve for x
    x = 44,852,004,819.36/196,732.80
  6. Step 6: Final answer
    x = 227,984.38

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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.