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Finding the Fourth Proportional to 196,564.96, 294,818.64 and 96,698.44

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Solution

The fourth proportional to 196,564.96, 294,818.64 and 96,698.44 is: 145,033.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,564.96 : 294,818.64 = 96,698.44 : x
  2. Step 2: Convert to fraction form
    196,564.96/294,818.64 = 96,698.44/x
  3. Step 3: Cross multiply
    196,564.96x = 294,818.64 × 96,698.44
  4. Step 4: Simplify right side
    196,564.96x = 28,508,502,570.92
  5. Step 5: Solve for x
    x = 28,508,502,570.92/196,564.96
  6. Step 6: Final answer
    x = 145,033.49

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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.