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Finding the Fourth Proportional to 129,704.86, 178,990.32 and 73,116.28

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Solution

The fourth proportional to 129,704.86, 178,990.32 and 73,116.28 is: 100,899.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,704.86 : 178,990.32 = 73,116.28 : x
  2. Step 2: Convert to fraction form
    129,704.86/178,990.32 = 73,116.28/x
  3. Step 3: Cross multiply
    129,704.86x = 178,990.32 × 73,116.28
  4. Step 4: Simplify right side
    129,704.86x = 13,087,106,354.41
  5. Step 5: Solve for x
    x = 13,087,106,354.41/129,704.86
  6. Step 6: Final answer
    x = 100,899.12

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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.