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Finding the Fourth Proportional to 102,381.80, 141,285.22 and 57,670.12

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Solution

The fourth proportional to 102,381.80, 141,285.22 and 57,670.12 is: 79,583.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,381.80 : 141,285.22 = 57,670.12 : x
  2. Step 2: Convert to fraction form
    102,381.80/141,285.22 = 57,670.12/x
  3. Step 3: Cross multiply
    102,381.80x = 141,285.22 × 57,670.12
  4. Step 4: Simplify right side
    102,381.80x = 8,147,935,591.63
  5. Step 5: Solve for x
    x = 8,147,935,591.63/102,381.80
  6. Step 6: Final answer
    x = 79,583.83

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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.