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Finding the Fourth Proportional to 129,134.67, 178,220.30 and 78,175.50

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Solution

The fourth proportional to 129,134.67, 178,220.30 and 78,175.50 is: 107,890.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,134.67 : 178,220.30 = 78,175.50 : x
  2. Step 2: Convert to fraction form
    129,134.67/178,220.30 = 78,175.50/x
  3. Step 3: Cross multiply
    129,134.67x = 178,220.30 × 78,175.50
  4. Step 4: Simplify right side
    129,134.67x = 13,932,460,003.45
  5. Step 5: Solve for x
    x = 13,932,460,003.45/129,134.67
  6. Step 6: Final answer
    x = 107,890.94

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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.