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Finding the Fourth Proportional to 116,066, 174,100.92 and 50,402

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Solution

The fourth proportional to 116,066, 174,100.92 and 50,402 is: 75,603.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,066 : 174,100.92 = 50,402 : x
  2. Step 2: Convert to fraction form
    116,066/174,100.92 = 50,402/x
  3. Step 3: Cross multiply
    116,066x = 174,100.92 × 50,402
  4. Step 4: Simplify right side
    116,066x = 8,775,034,569.84
  5. Step 5: Solve for x
    x = 8,775,034,569.84/116,066
  6. Step 6: Final answer
    x = 75,603.83

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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.