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Finding the Fourth Proportional to 137,104.26, 189,225.27 and 83,406.12

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Solution

The fourth proportional to 137,104.26, 189,225.27 and 83,406.12 is: 115,113.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,104.26 : 189,225.27 = 83,406.12 : x
  2. Step 2: Convert to fraction form
    137,104.26/189,225.27 = 83,406.12/x
  3. Step 3: Cross multiply
    137,104.26x = 189,225.27 × 83,406.12
  4. Step 4: Simplify right side
    137,104.26x = 15,782,545,576.65
  5. Step 5: Solve for x
    x = 15,782,545,576.65/137,104.26
  6. Step 6: Final answer
    x = 115,113.46

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