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Finding the Fourth Proportional to 129,233.16, 178,286.94 and 78,903

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Solution

The fourth proportional to 129,233.16, 178,286.94 and 78,903 is: 108,852.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,233.16 : 178,286.94 = 78,903 : x
  2. Step 2: Convert to fraction form
    129,233.16/178,286.94 = 78,903/x
  3. Step 3: Cross multiply
    129,233.16x = 178,286.94 × 78,903
  4. Step 4: Simplify right side
    129,233.16x = 14,067,374,426.82
  5. Step 5: Solve for x
    x = 14,067,374,426.82/129,233.16
  6. Step 6: Final answer
    x = 108,852.67

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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.