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Finding the Fourth Proportional to 122,940.70, 183,973.65 and 85,324.30

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Solution

The fourth proportional to 122,940.70, 183,973.65 and 85,324.30 is: 127,682.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,940.70 : 183,973.65 = 85,324.30 : x
  2. Step 2: Convert to fraction form
    122,940.70/183,973.65 = 85,324.30/x
  3. Step 3: Cross multiply
    122,940.70x = 183,973.65 × 85,324.30
  4. Step 4: Simplify right side
    122,940.70x = 15,697,422,904.70
  5. Step 5: Solve for x
    x = 15,697,422,904.70/122,940.70
  6. Step 6: Final answer
    x = 127,682.88

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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.