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Finding the Fourth Proportional to 242,508.53, 363,604.37 and 116,144.66

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Solution

The fourth proportional to 242,508.53, 363,604.37 and 116,144.66 is: 174,141.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,508.53 : 363,604.37 = 116,144.66 : x
  2. Step 2: Convert to fraction form
    242,508.53/363,604.37 = 116,144.66/x
  3. Step 3: Cross multiply
    242,508.53x = 363,604.37 × 116,144.66
  4. Step 4: Simplify right side
    242,508.53x = 42,230,703,529.42
  5. Step 5: Solve for x
    x = 42,230,703,529.42/242,508.53
  6. Step 6: Final answer
    x = 174,141.11

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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.