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Finding the Fourth Proportional to 102,518.40, 141,265.44 and 75,618.32

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Solution

The fourth proportional to 102,518.40, 141,265.44 and 75,618.32 is: 104,198.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,518.40 : 141,265.44 = 75,618.32 : x
  2. Step 2: Convert to fraction form
    102,518.40/141,265.44 = 75,618.32/x
  3. Step 3: Cross multiply
    102,518.40x = 141,265.44 × 75,618.32
  4. Step 4: Simplify right side
    102,518.40x = 10,682,255,246.86
  5. Step 5: Solve for x
    x = 10,682,255,246.86/102,518.40
  6. Step 6: Final answer
    x = 104,198.42

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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.