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Finding the Fourth Proportional to 123,129.56, 184,699.86 and 37,734.14

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Solution

The fourth proportional to 123,129.56, 184,699.86 and 37,734.14 is: 56,602.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,129.56 : 184,699.86 = 37,734.14 : x
  2. Step 2: Convert to fraction form
    123,129.56/184,699.86 = 37,734.14/x
  3. Step 3: Cross multiply
    123,129.56x = 184,699.86 × 37,734.14
  4. Step 4: Simplify right side
    123,129.56x = 6,969,490,375.22
  5. Step 5: Solve for x
    x = 6,969,490,375.22/123,129.56
  6. Step 6: Final answer
    x = 56,602.90

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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.