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Finding the Fourth Proportional to 114,922, 172,441.32 and 52,608.16

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Solution

The fourth proportional to 114,922, 172,441.32 and 52,608.16 is: 78,938.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,922 : 172,441.32 = 52,608.16 : x
  2. Step 2: Convert to fraction form
    114,922/172,441.32 = 52,608.16/x
  3. Step 3: Cross multiply
    114,922x = 172,441.32 × 52,608.16
  4. Step 4: Simplify right side
    114,922x = 9,071,820,553.17
  5. Step 5: Solve for x
    x = 9,071,820,553.17/114,922
  6. Step 6: Final answer
    x = 78,938.94

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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.