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Finding the Fourth Proportional to 137,252.70, 189,399.93 and 76,813.14

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Solution

The fourth proportional to 137,252.70, 189,399.93 and 76,813.14 is: 105,997.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,252.70 : 189,399.93 = 76,813.14 : x
  2. Step 2: Convert to fraction form
    137,252.70/189,399.93 = 76,813.14/x
  3. Step 3: Cross multiply
    137,252.70x = 189,399.93 × 76,813.14
  4. Step 4: Simplify right side
    137,252.70x = 14,548,403,339.08
  5. Step 5: Solve for x
    x = 14,548,403,339.08/137,252.70
  6. Step 6: Final answer
    x = 105,997.21

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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.