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Finding the Fourth Proportional to 102,596.27, 141,641.75 and 78,205.76

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Solution

The fourth proportional to 102,596.27, 141,641.75 and 78,205.76 is: 107,968.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,596.27 : 141,641.75 = 78,205.76 : x
  2. Step 2: Convert to fraction form
    102,596.27/141,641.75 = 78,205.76/x
  3. Step 3: Cross multiply
    102,596.27x = 141,641.75 × 78,205.76
  4. Step 4: Simplify right side
    102,596.27x = 11,077,200,193.79
  5. Step 5: Solve for x
    x = 11,077,200,193.79/102,596.27
  6. Step 6: Final answer
    x = 107,968.84

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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.