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Finding the Fourth Proportional to 178,039.44, 245,706.24 and 102,592.80

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Solution

The fourth proportional to 178,039.44, 245,706.24 and 102,592.80 is: 141,584.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,039.44 : 245,706.24 = 102,592.80 : x
  2. Step 2: Convert to fraction form
    178,039.44/245,706.24 = 102,592.80/x
  3. Step 3: Cross multiply
    178,039.44x = 245,706.24 × 102,592.80
  4. Step 4: Simplify right side
    178,039.44x = 25,207,691,139.07
  5. Step 5: Solve for x
    x = 25,207,691,139.07/178,039.44
  6. Step 6: Final answer
    x = 141,584.87

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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.