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Finding the Fourth Proportional to 242,280, 363,183.88 and 115,887.24

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Solution

The fourth proportional to 242,280, 363,183.88 and 115,887.24 is: 173,717.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,280 : 363,183.88 = 115,887.24 : x
  2. Step 2: Convert to fraction form
    242,280/363,183.88 = 115,887.24/x
  3. Step 3: Cross multiply
    242,280x = 363,183.88 × 115,887.24
  4. Step 4: Simplify right side
    242,280x = 42,088,377,465.69
  5. Step 5: Solve for x
    x = 42,088,377,465.69/242,280
  6. Step 6: Final answer
    x = 173,717.92

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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.