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Finding the Fourth Proportional to 242,705.10, 364,010.67 and 74,184.60

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Solution

The fourth proportional to 242,705.10, 364,010.67 and 74,184.60 is: 111,262.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,705.10 : 364,010.67 = 74,184.60 : x
  2. Step 2: Convert to fraction form
    242,705.10/364,010.67 = 74,184.60/x
  3. Step 3: Cross multiply
    242,705.10x = 364,010.67 × 74,184.60
  4. Step 4: Simplify right side
    242,705.10x = 27,003,985,949.68
  5. Step 5: Solve for x
    x = 27,003,985,949.68/242,705.10
  6. Step 6: Final answer
    x = 111,262.54

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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.