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Finding the Fourth Proportional to 242,967, 364,508.96 and 76,755

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Solution

The fourth proportional to 242,967, 364,508.96 and 76,755 is: 115,150.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,967 : 364,508.96 = 76,755 : x
  2. Step 2: Convert to fraction form
    242,967/364,508.96 = 76,755/x
  3. Step 3: Cross multiply
    242,967x = 364,508.96 × 76,755
  4. Step 4: Simplify right side
    242,967x = 27,977,884,841.03
  5. Step 5: Solve for x
    x = 27,977,884,841.03/242,967
  6. Step 6: Final answer
    x = 115,150.97

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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.