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Finding the Fourth Proportional to 377,546.96, 566,151 and 111,214.16

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Solution

The fourth proportional to 377,546.96, 566,151 and 111,214.16 is: 166,771.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,546.96 : 566,151 = 111,214.16 : x
  2. Step 2: Convert to fraction form
    377,546.96/566,151 = 111,214.16/x
  3. Step 3: Cross multiply
    377,546.96x = 566,151 × 111,214.16
  4. Step 4: Simplify right side
    377,546.96x = 62,964,007,898.16
  5. Step 5: Solve for x
    x = 62,964,007,898.16/377,546.96
  6. Step 6: Final answer
    x = 166,771.33

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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.