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Finding the Fourth Proportional to 196,466.40, 294,451.80 and 84,013.68

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Solution

The fourth proportional to 196,466.40, 294,451.80 and 84,013.68 is: 125,914.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,466.40 : 294,451.80 = 84,013.68 : x
  2. Step 2: Convert to fraction form
    196,466.40/294,451.80 = 84,013.68/x
  3. Step 3: Cross multiply
    196,466.40x = 294,451.80 × 84,013.68
  4. Step 4: Simplify right side
    196,466.40x = 24,737,979,300.62
  5. Step 5: Solve for x
    x = 24,737,979,300.62/196,466.40
  6. Step 6: Final answer
    x = 125,914.55

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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.