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Finding the Fourth Proportional to 137,174.35, 189,307.96 and 76,741.39

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Solution

The fourth proportional to 137,174.35, 189,307.96 and 76,741.39 is: 105,907.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,174.35 : 189,307.96 = 76,741.39 : x
  2. Step 2: Convert to fraction form
    137,174.35/189,307.96 = 76,741.39/x
  3. Step 3: Cross multiply
    137,174.35x = 189,307.96 × 76,741.39
  4. Step 4: Simplify right side
    137,174.35x = 14,527,755,450.44
  5. Step 5: Solve for x
    x = 14,527,755,450.44/137,174.35
  6. Step 6: Final answer
    x = 105,907.23

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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.