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Finding the Fourth Proportional to 377,137.95, 565,333.24 and 177,100.25

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Solution

The fourth proportional to 377,137.95, 565,333.24 and 177,100.25 is: 265,474.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,137.95 : 565,333.24 = 177,100.25 : x
  2. Step 2: Convert to fraction form
    377,137.95/565,333.24 = 177,100.25/x
  3. Step 3: Cross multiply
    377,137.95x = 565,333.24 × 177,100.25
  4. Step 4: Simplify right side
    377,137.95x = 100,120,654,425.14
  5. Step 5: Solve for x
    x = 100,120,654,425.14/377,137.95
  6. Step 6: Final answer
    x = 265,474.89

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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.