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Finding the Fourth Proportional to 242,799.22, 364,241.90 and 74,315.82

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Solution

The fourth proportional to 242,799.22, 364,241.90 and 74,315.82 is: 111,486.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,799.22 : 364,241.90 = 74,315.82 : x
  2. Step 2: Convert to fraction form
    242,799.22/364,241.90 = 74,315.82/x
  3. Step 3: Cross multiply
    242,799.22x = 364,241.90 × 74,315.82
  4. Step 4: Simplify right side
    242,799.22x = 27,068,935,476.86
  5. Step 5: Solve for x
    x = 27,068,935,476.86/242,799.22
  6. Step 6: Final answer
    x = 111,486.91

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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.