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Finding the Fourth Proportional to 87,199.40, 120,348.66 and 51,401

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Solution

The fourth proportional to 87,199.40, 120,348.66 and 51,401 is: 70,941.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,199.40 : 120,348.66 = 51,401 : x
  2. Step 2: Convert to fraction form
    87,199.40/120,348.66 = 51,401/x
  3. Step 3: Cross multiply
    87,199.40x = 120,348.66 × 51,401
  4. Step 4: Simplify right side
    87,199.40x = 6,186,041,472.66
  5. Step 5: Solve for x
    x = 6,186,041,472.66/87,199.40
  6. Step 6: Final answer
    x = 70,941.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.