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Finding the Fourth Proportional to 196,337.70, 294,506.55 and 96,513.30

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Solution

The fourth proportional to 196,337.70, 294,506.55 and 96,513.30 is: 144,769.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,337.70 : 294,506.55 = 96,513.30 : x
  2. Step 2: Convert to fraction form
    196,337.70/294,506.55 = 96,513.30/x
  3. Step 3: Cross multiply
    196,337.70x = 294,506.55 × 96,513.30
  4. Step 4: Simplify right side
    196,337.70x = 28,423,799,012.12
  5. Step 5: Solve for x
    x = 28,423,799,012.12/196,337.70
  6. Step 6: Final answer
    x = 144,769.95

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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.