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Finding the Fourth Proportional to 137,038.56, 189,122.04 and 76,609.44

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Solution

The fourth proportional to 137,038.56, 189,122.04 and 76,609.44 is: 105,725.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,038.56 : 189,122.04 = 76,609.44 : x
  2. Step 2: Convert to fraction form
    137,038.56/189,122.04 = 76,609.44/x
  3. Step 3: Cross multiply
    137,038.56x = 189,122.04 × 76,609.44
  4. Step 4: Simplify right side
    137,038.56x = 14,488,533,576.06
  5. Step 5: Solve for x
    x = 14,488,533,576.06/137,038.56
  6. Step 6: Final answer
    x = 105,725.96

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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.