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Finding the Fourth Proportional to 311,034.85, 466,274.44 and 121,451.11

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Solution

The fourth proportional to 311,034.85, 466,274.44 and 121,451.11 is: 182,068.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,034.85 : 466,274.44 = 121,451.11 : x
  2. Step 2: Convert to fraction form
    311,034.85/466,274.44 = 121,451.11/x
  3. Step 3: Cross multiply
    311,034.85x = 466,274.44 × 121,451.11
  4. Step 4: Simplify right side
    311,034.85x = 56,629,548,302.63
  5. Step 5: Solve for x
    x = 56,629,548,302.63/311,034.85
  6. Step 6: Final answer
    x = 182,068.18

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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.