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Finding the Fourth Proportional to 123,194.15, 184,802.90 and 34,447.65

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Solution

The fourth proportional to 123,194.15, 184,802.90 and 34,447.65 is: 51,674.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,194.15 : 184,802.90 = 34,447.65 : x
  2. Step 2: Convert to fraction form
    123,194.15/184,802.90 = 34,447.65/x
  3. Step 3: Cross multiply
    123,194.15x = 184,802.90 × 34,447.65
  4. Step 4: Simplify right side
    123,194.15x = 6,366,026,081.49
  5. Step 5: Solve for x
    x = 6,366,026,081.49/123,194.15
  6. Step 6: Final answer
    x = 51,674.74

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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.