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Finding the Fourth Proportional to 196,456.80, 294,685.20 and 48,712.80

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Solution

The fourth proportional to 196,456.80, 294,685.20 and 48,712.80 is: 73,069.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,456.80 : 294,685.20 = 48,712.80 : x
  2. Step 2: Convert to fraction form
    196,456.80/294,685.20 = 48,712.80/x
  3. Step 3: Cross multiply
    196,456.80x = 294,685.20 × 48,712.80
  4. Step 4: Simplify right side
    196,456.80x = 14,354,941,210.56
  5. Step 5: Solve for x
    x = 14,354,941,210.56/196,456.80
  6. Step 6: Final answer
    x = 73,069.20

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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.