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Finding the Fourth Proportional to 102,339.60, 141,219 and 57,012.96

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Solution

The fourth proportional to 102,339.60, 141,219 and 57,012.96 is: 78,672.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,339.60 : 141,219 = 57,012.96 : x
  2. Step 2: Convert to fraction form
    102,339.60/141,219 = 57,012.96/x
  3. Step 3: Cross multiply
    102,339.60x = 141,219 × 57,012.96
  4. Step 4: Simplify right side
    102,339.60x = 8,051,313,198.24
  5. Step 5: Solve for x
    x = 8,051,313,198.24/102,339.60
  6. Step 6: Final answer
    x = 78,672.51

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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.