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Finding the Fourth Proportional to 122,305.83, 183,475.76 and 43,401.30

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Solution

The fourth proportional to 122,305.83, 183,475.76 and 43,401.30 is: 65,107.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,305.83 : 183,475.76 = 43,401.30 : x
  2. Step 2: Convert to fraction form
    122,305.83/183,475.76 = 43,401.30/x
  3. Step 3: Cross multiply
    122,305.83x = 183,475.76 × 43,401.30
  4. Step 4: Simplify right side
    122,305.83x = 7,963,086,285.48
  5. Step 5: Solve for x
    x = 7,963,086,285.48/122,305.83
  6. Step 6: Final answer
    x = 65,107.99

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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.