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Finding the Fourth Proportional to 122,598.18, 183,642.12 and 78,004.04

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Solution

The fourth proportional to 122,598.18, 183,642.12 and 78,004.04 is: 116,843.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,598.18 : 183,642.12 = 78,004.04 : x
  2. Step 2: Convert to fraction form
    122,598.18/183,642.12 = 78,004.04/x
  3. Step 3: Cross multiply
    122,598.18x = 183,642.12 × 78,004.04
  4. Step 4: Simplify right side
    122,598.18x = 14,324,826,355.95
  5. Step 5: Solve for x
    x = 14,324,826,355.95/122,598.18
  6. Step 6: Final answer
    x = 116,843.71

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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.