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Finding the Fourth Proportional to 122,892.53, 184,338.71 and 34,146

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Solution

The fourth proportional to 122,892.53, 184,338.71 and 34,146 is: 51,218.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,892.53 : 184,338.71 = 34,146 : x
  2. Step 2: Convert to fraction form
    122,892.53/184,338.71 = 34,146/x
  3. Step 3: Cross multiply
    122,892.53x = 184,338.71 × 34,146
  4. Step 4: Simplify right side
    122,892.53x = 6,294,429,677.03
  5. Step 5: Solve for x
    x = 6,294,429,677.03/122,892.53
  6. Step 6: Final answer
    x = 51,218.98

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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.