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Finding the Fourth Proportional to 122,822.70, 183,796.65 and 85,206.30

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Solution

The fourth proportional to 122,822.70, 183,796.65 and 85,206.30 is: 127,506.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,822.70 : 183,796.65 = 85,206.30 : x
  2. Step 2: Convert to fraction form
    122,822.70/183,796.65 = 85,206.30/x
  3. Step 3: Cross multiply
    122,822.70x = 183,796.65 × 85,206.30
  4. Step 4: Simplify right side
    122,822.70x = 15,660,632,498.90
  5. Step 5: Solve for x
    x = 15,660,632,498.90/122,822.70
  6. Step 6: Final answer
    x = 127,506.01

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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.