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Finding the Fourth Proportional to 242,738.52, 364,107.24 and 65,245.53

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Solution

The fourth proportional to 242,738.52, 364,107.24 and 65,245.53 is: 97,868.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,738.52 : 364,107.24 = 65,245.53 : x
  2. Step 2: Convert to fraction form
    242,738.52/364,107.24 = 65,245.53/x
  3. Step 3: Cross multiply
    242,738.52x = 364,107.24 × 65,245.53
  4. Step 4: Simplify right side
    242,738.52x = 23,756,369,850.64
  5. Step 5: Solve for x
    x = 23,756,369,850.64/242,738.52
  6. Step 6: Final answer
    x = 97,868.15

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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.