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Finding the Fourth Proportional to 377,558.82, 566,357.76 and 137,667.15

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Solution

The fourth proportional to 377,558.82, 566,357.76 and 137,667.15 is: 206,507.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,558.82 : 566,357.76 = 137,667.15 : x
  2. Step 2: Convert to fraction form
    377,558.82/566,357.76 = 137,667.15/x
  3. Step 3: Cross multiply
    377,558.82x = 566,357.76 × 137,667.15
  4. Step 4: Simplify right side
    377,558.82x = 77,968,858,699.58
  5. Step 5: Solve for x
    x = 77,968,858,699.58/377,558.82
  6. Step 6: Final answer
    x = 206,507.85

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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.