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Finding the Fourth Proportional to 123,765.37, 185,618.34 and 57,141.50

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Solution

The fourth proportional to 123,765.37, 185,618.34 and 57,141.50 is: 85,698.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,765.37 : 185,618.34 = 57,141.50 : x
  2. Step 2: Convert to fraction form
    123,765.37/185,618.34 = 57,141.50/x
  3. Step 3: Cross multiply
    123,765.37x = 185,618.34 × 57,141.50
  4. Step 4: Simplify right side
    123,765.37x = 10,606,509,447.02
  5. Step 5: Solve for x
    x = 10,606,509,447.02/123,765.37
  6. Step 6: Final answer
    x = 85,698.53

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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.