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Finding the Fourth Proportional to 114,923, 172,442.82 and 52,609.16

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Solution

The fourth proportional to 114,923, 172,442.82 and 52,609.16 is: 78,940.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,923 : 172,442.82 = 52,609.16 : x
  2. Step 2: Convert to fraction form
    114,923/172,442.82 = 52,609.16/x
  3. Step 3: Cross multiply
    114,923x = 172,442.82 × 52,609.16
  4. Step 4: Simplify right side
    114,923x = 9,072,071,908.23
  5. Step 5: Solve for x
    x = 9,072,071,908.23/114,923
  6. Step 6: Final answer
    x = 78,940.44

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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.