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Finding the Fourth Proportional to 140,963.82, 211,393.02 and 56,695.56

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Solution

The fourth proportional to 140,963.82, 211,393.02 and 56,695.56 is: 85,022.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,963.82 : 211,393.02 = 56,695.56 : x
  2. Step 2: Convert to fraction form
    140,963.82/211,393.02 = 56,695.56/x
  3. Step 3: Cross multiply
    140,963.82x = 211,393.02 × 56,695.56
  4. Step 4: Simplify right side
    140,963.82x = 11,985,045,648.99
  5. Step 5: Solve for x
    x = 11,985,045,648.99/140,963.82
  6. Step 6: Final answer
    x = 85,022.14

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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.