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Finding the Fourth Proportional to 137,246.67, 189,400.36 and 76,817.31

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Solution

The fourth proportional to 137,246.67, 189,400.36 and 76,817.31 is: 106,007.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,246.67 : 189,400.36 = 76,817.31 : x
  2. Step 2: Convert to fraction form
    137,246.67/189,400.36 = 76,817.31/x
  3. Step 3: Cross multiply
    137,246.67x = 189,400.36 × 76,817.31
  4. Step 4: Simplify right side
    137,246.67x = 14,549,226,799.42
  5. Step 5: Solve for x
    x = 14,549,226,799.42/137,246.67
  6. Step 6: Final answer
    x = 106,007.87

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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.