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Finding the Fourth Proportional to 242,229, 363,356.46 and 76,029.96

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Solution

The fourth proportional to 242,229, 363,356.46 and 76,029.96 is: 114,049.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,229 : 363,356.46 = 76,029.96 : x
  2. Step 2: Convert to fraction form
    242,229/363,356.46 = 76,029.96/x
  3. Step 3: Cross multiply
    242,229x = 363,356.46 × 76,029.96
  4. Step 4: Simplify right side
    242,229x = 27,625,977,119.54
  5. Step 5: Solve for x
    x = 27,625,977,119.54/242,229
  6. Step 6: Final answer
    x = 114,049.01

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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.