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Finding the Fourth Proportional to 103,226.68, 154,847.22 and 40,897

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Solution

The fourth proportional to 103,226.68, 154,847.22 and 40,897 is: 61,348.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,226.68 : 154,847.22 = 40,897 : x
  2. Step 2: Convert to fraction form
    103,226.68/154,847.22 = 40,897/x
  3. Step 3: Cross multiply
    103,226.68x = 154,847.22 × 40,897
  4. Step 4: Simplify right side
    103,226.68x = 6,332,786,756.34
  5. Step 5: Solve for x
    x = 6,332,786,756.34/103,226.68
  6. Step 6: Final answer
    x = 61,348.35

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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.