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Finding the Fourth Proportional to 147,200.42, 220,652.97 and 68,370

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Solution

The fourth proportional to 147,200.42, 220,652.97 and 68,370 is: 102,486.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,200.42 : 220,652.97 = 68,370 : x
  2. Step 2: Convert to fraction form
    147,200.42/220,652.97 = 68,370/x
  3. Step 3: Cross multiply
    147,200.42x = 220,652.97 × 68,370
  4. Step 4: Simplify right side
    147,200.42x = 15,086,043,558.90
  5. Step 5: Solve for x
    x = 15,086,043,558.90/147,200.42
  6. Step 6: Final answer
    x = 102,486.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.