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Finding the Fourth Proportional to 196,499.92, 294,503.10 and 84,047.80

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Solution

The fourth proportional to 196,499.92, 294,503.10 and 84,047.80 is: 125,966.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,499.92 : 294,503.10 = 84,047.80 : x
  2. Step 2: Convert to fraction form
    196,499.92/294,503.10 = 84,047.80/x
  3. Step 3: Cross multiply
    196,499.92x = 294,503.10 × 84,047.80
  4. Step 4: Simplify right side
    196,499.92x = 24,752,337,648.18
  5. Step 5: Solve for x
    x = 24,752,337,648.18/196,499.92
  6. Step 6: Final answer
    x = 125,966.15

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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.