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Finding the Fourth Proportional to 81,530.70, 122,296.05 and 81,530.70

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Solution

The fourth proportional to 81,530.70, 122,296.05 and 81,530.70 is: 122,296.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,530.70 : 122,296.05 = 81,530.70 : x
  2. Step 2: Convert to fraction form
    81,530.70/122,296.05 = 81,530.70/x
  3. Step 3: Cross multiply
    81,530.70x = 122,296.05 × 81,530.70
  4. Step 4: Simplify right side
    81,530.70x = 9,970,882,563.74
  5. Step 5: Solve for x
    x = 9,970,882,563.74/81,530.70
  6. Step 6: Final answer
    x = 122,296.05

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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.