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Finding the Fourth Proportional to 137,563.69, 189,757.26 and 86,495.49

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Solution

The fourth proportional to 137,563.69, 189,757.26 and 86,495.49 is: 119,313.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,563.69 : 189,757.26 = 86,495.49 : x
  2. Step 2: Convert to fraction form
    137,563.69/189,757.26 = 86,495.49/x
  3. Step 3: Cross multiply
    137,563.69x = 189,757.26 × 86,495.49
  4. Step 4: Simplify right side
    137,563.69x = 16,413,147,184.76
  5. Step 5: Solve for x
    x = 16,413,147,184.76/137,563.69
  6. Step 6: Final answer
    x = 119,313.08

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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.