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Finding the Fourth Proportional to 123,764.35, 185,616.80 and 57,140.50

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Solution

The fourth proportional to 123,764.35, 185,616.80 and 57,140.50 is: 85,697.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,764.35 : 185,616.80 = 57,140.50 : x
  2. Step 2: Convert to fraction form
    123,764.35/185,616.80 = 57,140.50/x
  3. Step 3: Cross multiply
    123,764.35x = 185,616.80 × 57,140.50
  4. Step 4: Simplify right side
    123,764.35x = 10,606,236,474.70
  5. Step 5: Solve for x
    x = 10,606,236,474.70/123,764.35
  6. Step 6: Final answer
    x = 85,697.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.