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Finding the Fourth Proportional to 123,768.60, 185,652.90 and 30,274.35

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Solution

The fourth proportional to 123,768.60, 185,652.90 and 30,274.35 is: 45,411.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,768.60 : 185,652.90 = 30,274.35 : x
  2. Step 2: Convert to fraction form
    123,768.60/185,652.90 = 30,274.35/x
  3. Step 3: Cross multiply
    123,768.60x = 185,652.90 × 30,274.35
  4. Step 4: Simplify right side
    123,768.60x = 5,620,520,873.12
  5. Step 5: Solve for x
    x = 5,620,520,873.12/123,768.60
  6. Step 6: Final answer
    x = 45,411.53

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Why These Related Problems?

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