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Finding the Fourth Proportional to 242,714.75, 364,013.72 and 74,236.53

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Solution

The fourth proportional to 242,714.75, 364,013.72 and 74,236.53 is: 111,336.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,714.75 : 364,013.72 = 74,236.53 : x
  2. Step 2: Convert to fraction form
    242,714.75/364,013.72 = 74,236.53/x
  3. Step 3: Cross multiply
    242,714.75x = 364,013.72 × 74,236.53
  4. Step 4: Simplify right side
    242,714.75x = 27,023,115,074.01
  5. Step 5: Solve for x
    x = 27,023,115,074.01/242,714.75
  6. Step 6: Final answer
    x = 111,336.93

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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.