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Finding the Fourth Proportional to 122,886.66, 184,375.04 and 51,827.18

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Solution

The fourth proportional to 122,886.66, 184,375.04 and 51,827.18 is: 77,759.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,886.66 : 184,375.04 = 51,827.18 : x
  2. Step 2: Convert to fraction form
    122,886.66/184,375.04 = 51,827.18/x
  3. Step 3: Cross multiply
    122,886.66x = 184,375.04 × 51,827.18
  4. Step 4: Simplify right side
    122,886.66x = 9,555,638,385.59
  5. Step 5: Solve for x
    x = 9,555,638,385.59/122,886.66
  6. Step 6: Final answer
    x = 77,759.77

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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.