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Finding the Fourth Proportional to 242,716.43, 364,074.32 and 65,223.45

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Solution

The fourth proportional to 242,716.43, 364,074.32 and 65,223.45 is: 97,835.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,716.43 : 364,074.32 = 65,223.45 : x
  2. Step 2: Convert to fraction form
    242,716.43/364,074.32 = 65,223.45/x
  3. Step 3: Cross multiply
    242,716.43x = 364,074.32 × 65,223.45
  4. Step 4: Simplify right side
    242,716.43x = 23,746,183,369.86
  5. Step 5: Solve for x
    x = 23,746,183,369.86/242,716.43
  6. Step 6: Final answer
    x = 97,835.09

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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.