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Finding the Fourth Proportional to 377,138.82, 565,334.55 and 177,101.12

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Solution

The fourth proportional to 377,138.82, 565,334.55 and 177,101.12 is: 265,476.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,138.82 : 565,334.55 = 177,101.12 : x
  2. Step 2: Convert to fraction form
    377,138.82/565,334.55 = 177,101.12/x
  3. Step 3: Cross multiply
    377,138.82x = 565,334.55 × 177,101.12
  4. Step 4: Simplify right side
    377,138.82x = 100,121,383,393.03
  5. Step 5: Solve for x
    x = 100,121,383,393.03/377,138.82
  6. Step 6: Final answer
    x = 265,476.21

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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.