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Finding the Fourth Proportional to 138,716.44, 191,429.34 and 78,289.63

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Solution

The fourth proportional to 138,716.44, 191,429.34 and 78,289.63 is: 108,040.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,716.44 : 191,429.34 = 78,289.63 : x
  2. Step 2: Convert to fraction form
    138,716.44/191,429.34 = 78,289.63/x
  3. Step 3: Cross multiply
    138,716.44x = 191,429.34 × 78,289.63
  4. Step 4: Simplify right side
    138,716.44x = 14,986,931,242.60
  5. Step 5: Solve for x
    x = 14,986,931,242.60/138,716.44
  6. Step 6: Final answer
    x = 108,040.05

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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.