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Finding the Fourth Proportional to 102,893.80, 154,110.30 and 84,461.80

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Solution

The fourth proportional to 102,893.80, 154,110.30 and 84,461.80 is: 126,503.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,893.80 : 154,110.30 = 84,461.80 : x
  2. Step 2: Convert to fraction form
    102,893.80/154,110.30 = 84,461.80/x
  3. Step 3: Cross multiply
    102,893.80x = 154,110.30 × 84,461.80
  4. Step 4: Simplify right side
    102,893.80x = 13,016,433,336.54
  5. Step 5: Solve for x
    x = 13,016,433,336.54/102,893.80
  6. Step 6: Final answer
    x = 126,503.57

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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.