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Finding the Fourth Proportional to 102,299.46, 141,172.86 and 56,977.98

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Solution

The fourth proportional to 102,299.46, 141,172.86 and 56,977.98 is: 78,629.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,299.46 : 141,172.86 = 56,977.98 : x
  2. Step 2: Convert to fraction form
    102,299.46/141,172.86 = 56,977.98/x
  3. Step 3: Cross multiply
    102,299.46x = 141,172.86 × 56,977.98
  4. Step 4: Simplify right side
    102,299.46x = 8,043,744,393.62
  5. Step 5: Solve for x
    x = 8,043,744,393.62/102,299.46
  6. Step 6: Final answer
    x = 78,629.39

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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.