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Finding the Fourth Proportional to 123,522.84, 185,295.20 and 34,777.12

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Solution

The fourth proportional to 123,522.84, 185,295.20 and 34,777.12 is: 52,168.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,522.84 : 185,295.20 = 34,777.12 : x
  2. Step 2: Convert to fraction form
    123,522.84/185,295.20 = 34,777.12/x
  3. Step 3: Cross multiply
    123,522.84x = 185,295.20 × 34,777.12
  4. Step 4: Simplify right side
    123,522.84x = 6,444,033,405.82
  5. Step 5: Solve for x
    x = 6,444,033,405.82/123,522.84
  6. Step 6: Final answer
    x = 52,168.76

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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.