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Finding the Fourth Proportional to 196,504.96, 294,728.73 and 96,638.35

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Solution

The fourth proportional to 196,504.96, 294,728.73 and 96,638.35 is: 144,943.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,504.96 : 294,728.73 = 96,638.35 : x
  2. Step 2: Convert to fraction form
    196,504.96/294,728.73 = 96,638.35/x
  3. Step 3: Cross multiply
    196,504.96x = 294,728.73 × 96,638.35
  4. Step 4: Simplify right side
    196,504.96x = 28,482,098,164.80
  5. Step 5: Solve for x
    x = 28,482,098,164.80/196,504.96
  6. Step 6: Final answer
    x = 144,943.41

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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.