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Finding the Fourth Proportional to 137,516.98, 189,866.24 and 85,913

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Solution

The fourth proportional to 137,516.98, 189,866.24 and 85,913 is: 118,617.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,516.98 : 189,866.24 = 85,913 : x
  2. Step 2: Convert to fraction form
    137,516.98/189,866.24 = 85,913/x
  3. Step 3: Cross multiply
    137,516.98x = 189,866.24 × 85,913
  4. Step 4: Simplify right side
    137,516.98x = 16,311,978,277.12
  5. Step 5: Solve for x
    x = 16,311,978,277.12/137,516.98
  6. Step 6: Final answer
    x = 118,617.92

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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.