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Finding the Fourth Proportional to 129,652.14, 194,511 and 36,157.86

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Solution

The fourth proportional to 129,652.14, 194,511 and 36,157.86 is: 54,245.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,652.14 : 194,511 = 36,157.86 : x
  2. Step 2: Convert to fraction form
    129,652.14/194,511 = 36,157.86/x
  3. Step 3: Cross multiply
    129,652.14x = 194,511 × 36,157.86
  4. Step 4: Simplify right side
    129,652.14x = 7,033,101,506.46
  5. Step 5: Solve for x
    x = 7,033,101,506.46/129,652.14
  6. Step 6: Final answer
    x = 54,245.93

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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.