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Finding the Fourth Proportional to 377,419.92, 566,128.86 and 111,180.06

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Solution

The fourth proportional to 377,419.92, 566,128.86 and 111,180.06 is: 166,769.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,419.92 : 566,128.86 = 111,180.06 : x
  2. Step 2: Convert to fraction form
    377,419.92/566,128.86 = 111,180.06/x
  3. Step 3: Cross multiply
    377,419.92x = 566,128.86 × 111,180.06
  4. Step 4: Simplify right side
    377,419.92x = 62,942,240,622.53
  5. Step 5: Solve for x
    x = 62,942,240,622.53/377,419.92
  6. Step 6: Final answer
    x = 166,769.79

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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.