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Finding the Fourth Proportional to 102,592.96, 141,642.32 and 78,673.60

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Solution

The fourth proportional to 102,592.96, 141,642.32 and 78,673.60 is: 108,618.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,592.96 : 141,642.32 = 78,673.60 : x
  2. Step 2: Convert to fraction form
    102,592.96/141,642.32 = 78,673.60/x
  3. Step 3: Cross multiply
    102,592.96x = 141,642.32 × 78,673.60
  4. Step 4: Simplify right side
    102,592.96x = 11,143,511,226.75
  5. Step 5: Solve for x
    x = 11,143,511,226.75/102,592.96
  6. Step 6: Final answer
    x = 108,618.67

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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.