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Finding the Fourth Proportional to 242,736, 364,165.44 and 67,632

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Solution

The fourth proportional to 242,736, 364,165.44 and 67,632 is: 101,465.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,736 : 364,165.44 = 67,632 : x
  2. Step 2: Convert to fraction form
    242,736/364,165.44 = 67,632/x
  3. Step 3: Cross multiply
    242,736x = 364,165.44 × 67,632
  4. Step 4: Simplify right side
    242,736x = 24,629,237,038.08
  5. Step 5: Solve for x
    x = 24,629,237,038.08/242,736
  6. Step 6: Final answer
    x = 101,465.12

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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.