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Finding the Fourth Proportional to 137,197.10, 189,361.41 and 83,499.41

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Solution

The fourth proportional to 137,197.10, 189,361.41 and 83,499.41 is: 115,247.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,197.10 : 189,361.41 = 83,499.41 : x
  2. Step 2: Convert to fraction form
    137,197.10/189,361.41 = 83,499.41/x
  3. Step 3: Cross multiply
    137,197.10x = 189,361.41 × 83,499.41
  4. Step 4: Simplify right side
    137,197.10x = 15,811,566,011.77
  5. Step 5: Solve for x
    x = 15,811,566,011.77/137,197.10
  6. Step 6: Final answer
    x = 115,247.09

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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.