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Finding the Fourth Proportional to 137,339.64, 189,507.36 and 76,912.80

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Solution

The fourth proportional to 137,339.64, 189,507.36 and 76,912.80 is: 106,127.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,339.64 : 189,507.36 = 76,912.80 : x
  2. Step 2: Convert to fraction form
    137,339.64/189,507.36 = 76,912.80/x
  3. Step 3: Cross multiply
    137,339.64x = 189,507.36 × 76,912.80
  4. Step 4: Simplify right side
    137,339.64x = 14,575,541,678.21
  5. Step 5: Solve for x
    x = 14,575,541,678.21/137,339.64
  6. Step 6: Final answer
    x = 106,127.71

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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.