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Finding the Fourth Proportional to 161,648.48, 242,317.20 and 82,799.84

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Solution

The fourth proportional to 161,648.48, 242,317.20 and 82,799.84 is: 124,120.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,648.48 : 242,317.20 = 82,799.84 : x
  2. Step 2: Convert to fraction form
    161,648.48/242,317.20 = 82,799.84/x
  3. Step 3: Cross multiply
    161,648.48x = 242,317.20 × 82,799.84
  4. Step 4: Simplify right side
    161,648.48x = 20,063,825,389.25
  5. Step 5: Solve for x
    x = 20,063,825,389.25/161,648.48
  6. Step 6: Final answer
    x = 124,120.10

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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.