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Finding the Fourth Proportional to 140,996.40, 211,445.40 and 56,734.73

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Solution

The fourth proportional to 140,996.40, 211,445.40 and 56,734.73 is: 85,082.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,996.40 : 211,445.40 = 56,734.73 : x
  2. Step 2: Convert to fraction form
    140,996.40/211,445.40 = 56,734.73/x
  3. Step 3: Cross multiply
    140,996.40x = 211,445.40 × 56,734.73
  4. Step 4: Simplify right side
    140,996.40x = 11,996,297,678.74
  5. Step 5: Solve for x
    x = 11,996,297,678.74/140,996.40
  6. Step 6: Final answer
    x = 85,082.30

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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.