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Finding the Fourth Proportional to 129,705.34, 178,996.07 and 73,116.71

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Solution

The fourth proportional to 129,705.34, 178,996.07 and 73,116.71 is: 100,902.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,705.34 : 178,996.07 = 73,116.71 : x
  2. Step 2: Convert to fraction form
    129,705.34/178,996.07 = 73,116.71/x
  3. Step 3: Cross multiply
    129,705.34x = 178,996.07 × 73,116.71
  4. Step 4: Simplify right side
    129,705.34x = 13,087,603,741.33
  5. Step 5: Solve for x
    x = 13,087,603,741.33/129,705.34
  6. Step 6: Final answer
    x = 100,902.58

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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.