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Finding the Fourth Proportional to 123,254.46, 184,798.26 and 48,327.84

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Solution

The fourth proportional to 123,254.46, 184,798.26 and 48,327.84 is: 72,459.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,254.46 : 184,798.26 = 48,327.84 : x
  2. Step 2: Convert to fraction form
    123,254.46/184,798.26 = 48,327.84/x
  3. Step 3: Cross multiply
    123,254.46x = 184,798.26 × 48,327.84
  4. Step 4: Simplify right side
    123,254.46x = 8,930,900,741.56
  5. Step 5: Solve for x
    x = 8,930,900,741.56/123,254.46
  6. Step 6: Final answer
    x = 72,459.05

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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.