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Finding the Fourth Proportional to 123,219.60, 184,829.40 and 48,343.20

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Solution

The fourth proportional to 123,219.60, 184,829.40 and 48,343.20 is: 72,514.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,219.60 : 184,829.40 = 48,343.20 : x
  2. Step 2: Convert to fraction form
    123,219.60/184,829.40 = 48,343.20/x
  3. Step 3: Cross multiply
    123,219.60x = 184,829.40 × 48,343.20
  4. Step 4: Simplify right side
    123,219.60x = 8,935,244,650.08
  5. Step 5: Solve for x
    x = 8,935,244,650.08/123,219.60
  6. Step 6: Final answer
    x = 72,514.80

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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.