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Finding the Fourth Proportional to 242,228, 363,354.96 and 76,028.96

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Solution

The fourth proportional to 242,228, 363,354.96 and 76,028.96 is: 114,047.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,228 : 363,354.96 = 76,028.96 : x
  2. Step 2: Convert to fraction form
    242,228/363,354.96 = 76,028.96/x
  3. Step 3: Cross multiply
    242,228x = 363,354.96 × 76,028.96
  4. Step 4: Simplify right side
    242,228x = 27,625,499,719.64
  5. Step 5: Solve for x
    x = 27,625,499,719.64/242,228
  6. Step 6: Final answer
    x = 114,047.51

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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.