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Finding the Fourth Proportional to 102,556, 141,527.28 and 55,452

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Solution

The fourth proportional to 102,556, 141,527.28 and 55,452 is: 76,523.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,556 : 141,527.28 = 55,452 : x
  2. Step 2: Convert to fraction form
    102,556/141,527.28 = 55,452/x
  3. Step 3: Cross multiply
    102,556x = 141,527.28 × 55,452
  4. Step 4: Simplify right side
    102,556x = 7,847,970,730.56
  5. Step 5: Solve for x
    x = 7,847,970,730.56/102,556
  6. Step 6: Final answer
    x = 76,523.76

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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.