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Finding the Fourth Proportional to 102,675.29, 141,692.39 and 57,355.17

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Solution

The fourth proportional to 102,675.29, 141,692.39 and 57,355.17 is: 79,150.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,675.29 : 141,692.39 = 57,355.17 : x
  2. Step 2: Convert to fraction form
    102,675.29/141,692.39 = 57,355.17/x
  3. Step 3: Cross multiply
    102,675.29x = 141,692.39 × 57,355.17
  4. Step 4: Simplify right side
    102,675.29x = 8,126,790,829.38
  5. Step 5: Solve for x
    x = 8,126,790,829.38/102,675.29
  6. Step 6: Final answer
    x = 79,150.41

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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.