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Finding the Fourth Proportional to 126,119.64, 189,216 and 37,374.84

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Solution

The fourth proportional to 126,119.64, 189,216 and 37,374.84 is: 56,073.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,119.64 : 189,216 = 37,374.84 : x
  2. Step 2: Convert to fraction form
    126,119.64/189,216 = 37,374.84/x
  3. Step 3: Cross multiply
    126,119.64x = 189,216 × 37,374.84
  4. Step 4: Simplify right side
    126,119.64x = 7,071,917,725.44
  5. Step 5: Solve for x
    x = 7,071,917,725.44/126,119.64
  6. Step 6: Final answer
    x = 56,073.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.