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Finding the Fourth Proportional to 102,732.98, 141,771.10 and 57,410.96

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Solution

The fourth proportional to 102,732.98, 141,771.10 and 57,410.96 is: 79,226.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,732.98 : 141,771.10 = 57,410.96 : x
  2. Step 2: Convert to fraction form
    102,732.98/141,771.10 = 57,410.96/x
  3. Step 3: Cross multiply
    102,732.98x = 141,771.10 × 57,410.96
  4. Step 4: Simplify right side
    102,732.98x = 8,139,214,951.26
  5. Step 5: Solve for x
    x = 8,139,214,951.26/102,732.98
  6. Step 6: Final answer
    x = 79,226.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.