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Finding the Fourth Proportional to 106,468.70, 159,600.65 and 82,763.10

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Solution

The fourth proportional to 106,468.70, 159,600.65 and 82,763.10 is: 124,065.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,468.70 : 159,600.65 = 82,763.10 : x
  2. Step 2: Convert to fraction form
    106,468.70/159,600.65 = 82,763.10/x
  3. Step 3: Cross multiply
    106,468.70x = 159,600.65 × 82,763.10
  4. Step 4: Simplify right side
    106,468.70x = 13,209,044,556.02
  5. Step 5: Solve for x
    x = 13,209,044,556.02/106,468.70
  6. Step 6: Final answer
    x = 124,065.05

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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.