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Finding the Fourth Proportional to 123,538.50, 185,377.82 and 56,978.67

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Solution

The fourth proportional to 123,538.50, 185,377.82 and 56,978.67 is: 85,500.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,538.50 : 185,377.82 = 56,978.67 : x
  2. Step 2: Convert to fraction form
    123,538.50/185,377.82 = 56,978.67/x
  3. Step 3: Cross multiply
    123,538.50x = 185,377.82 × 56,978.67
  4. Step 4: Simplify right side
    123,538.50x = 10,562,582,041.37
  5. Step 5: Solve for x
    x = 10,562,582,041.37/123,538.50
  6. Step 6: Final answer
    x = 85,500.33

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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.