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Finding the Fourth Proportional to 102,692.98, 141,514.42 and 78,521.31

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Solution

The fourth proportional to 102,692.98, 141,514.42 and 78,521.31 is: 108,205.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,692.98 : 141,514.42 = 78,521.31 : x
  2. Step 2: Convert to fraction form
    102,692.98/141,514.42 = 78,521.31/x
  3. Step 3: Cross multiply
    102,692.98x = 141,514.42 × 78,521.31
  4. Step 4: Simplify right side
    102,692.98x = 11,111,897,642.29
  5. Step 5: Solve for x
    x = 11,111,897,642.29/102,692.98
  6. Step 6: Final answer
    x = 108,205.04

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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.