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Finding the Fourth Proportional to 122,294.88, 183,494.32 and 66,826.08

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Solution

The fourth proportional to 122,294.88, 183,494.32 and 66,826.08 is: 100,267.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,294.88 : 183,494.32 = 66,826.08 : x
  2. Step 2: Convert to fraction form
    122,294.88/183,494.32 = 66,826.08/x
  3. Step 3: Cross multiply
    122,294.88x = 183,494.32 × 66,826.08
  4. Step 4: Simplify right side
    122,294.88x = 12,262,206,107.87
  5. Step 5: Solve for x
    x = 12,262,206,107.87/122,294.88
  6. Step 6: Final answer
    x = 100,267.53

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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.