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Finding the Fourth Proportional to 123,303.96, 184,941.48 and 34,564.62

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Solution

The fourth proportional to 123,303.96, 184,941.48 and 34,564.62 is: 51,842.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,303.96 : 184,941.48 = 34,564.62 : x
  2. Step 2: Convert to fraction form
    123,303.96/184,941.48 = 34,564.62/x
  3. Step 3: Cross multiply
    123,303.96x = 184,941.48 × 34,564.62
  4. Step 4: Simplify right side
    123,303.96x = 6,392,431,978.44
  5. Step 5: Solve for x
    x = 6,392,431,978.44/123,303.96
  6. Step 6: Final answer
    x = 51,842.88

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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.