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Finding the Fourth Proportional to 242,645.62, 363,955.16 and 74,165.88

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Solution

The fourth proportional to 242,645.62, 363,955.16 and 74,165.88 is: 111,244.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,645.62 : 363,955.16 = 74,165.88 : x
  2. Step 2: Convert to fraction form
    242,645.62/363,955.16 = 74,165.88/x
  3. Step 3: Cross multiply
    242,645.62x = 363,955.16 × 74,165.88
  4. Step 4: Simplify right side
    242,645.62x = 26,993,054,721.94
  5. Step 5: Solve for x
    x = 26,993,054,721.94/242,645.62
  6. Step 6: Final answer
    x = 111,244.76

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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.