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Finding the Fourth Proportional to 211,406.56, 291,680.40 and 139,760.44

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Solution

The fourth proportional to 211,406.56, 291,680.40 and 139,760.44 is: 192,829.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,406.56 : 291,680.40 = 139,760.44 : x
  2. Step 2: Convert to fraction form
    211,406.56/291,680.40 = 139,760.44/x
  3. Step 3: Cross multiply
    211,406.56x = 291,680.40 × 139,760.44
  4. Step 4: Simplify right side
    211,406.56x = 40,765,381,043.38
  5. Step 5: Solve for x
    x = 40,765,381,043.38/211,406.56
  6. Step 6: Final answer
    x = 192,829.31

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Why These Related Problems?

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