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Finding the Fourth Proportional to 137,374.16, 189,574.08 and 76,944.24

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Solution

The fourth proportional to 137,374.16, 189,574.08 and 76,944.24 is: 106,181.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,374.16 : 189,574.08 = 76,944.24 : x
  2. Step 2: Convert to fraction form
    137,374.16/189,574.08 = 76,944.24/x
  3. Step 3: Cross multiply
    137,374.16x = 189,574.08 × 76,944.24
  4. Step 4: Simplify right side
    137,374.16x = 14,586,633,509.30
  5. Step 5: Solve for x
    x = 14,586,633,509.30/137,374.16
  6. Step 6: Final answer
    x = 106,181.78

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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.