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Finding the Fourth Proportional to 123,593.84, 185,390.77 and 57,014.27

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Solution

The fourth proportional to 123,593.84, 185,390.77 and 57,014.27 is: 85,521.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,593.84 : 185,390.77 = 57,014.27 : x
  2. Step 2: Convert to fraction form
    123,593.84/185,390.77 = 57,014.27/x
  3. Step 3: Cross multiply
    123,593.84x = 185,390.77 × 57,014.27
  4. Step 4: Simplify right side
    123,593.84x = 10,569,919,737.23
  5. Step 5: Solve for x
    x = 10,569,919,737.23/123,593.84
  6. Step 6: Final answer
    x = 85,521.41

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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.