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Finding the Fourth Proportional to 102,416.96, 141,343.60 and 57,109.68

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Solution

The fourth proportional to 102,416.96, 141,343.60 and 57,109.68 is: 78,815.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,416.96 : 141,343.60 = 57,109.68 : x
  2. Step 2: Convert to fraction form
    102,416.96/141,343.60 = 57,109.68/x
  3. Step 3: Cross multiply
    102,416.96x = 141,343.60 × 57,109.68
  4. Step 4: Simplify right side
    102,416.96x = 8,072,087,766.05
  5. Step 5: Solve for x
    x = 8,072,087,766.05/102,416.96
  6. Step 6: Final answer
    x = 78,815.93

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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.