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Finding the Fourth Proportional to 122,966.80, 184,616.04 and 78,680

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Solution

The fourth proportional to 122,966.80, 184,616.04 and 78,680 is: 118,126.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,966.80 : 184,616.04 = 78,680 : x
  2. Step 2: Convert to fraction form
    122,966.80/184,616.04 = 78,680/x
  3. Step 3: Cross multiply
    122,966.80x = 184,616.04 × 78,680
  4. Step 4: Simplify right side
    122,966.80x = 14,525,590,027.20
  5. Step 5: Solve for x
    x = 14,525,590,027.20/122,966.80
  6. Step 6: Final answer
    x = 118,126.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.