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Finding the Fourth Proportional to 123,593.50, 185,324.64 and 56,999.35

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Solution

The fourth proportional to 123,593.50, 185,324.64 and 56,999.35 is: 85,468.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,593.50 : 185,324.64 = 56,999.35 : x
  2. Step 2: Convert to fraction form
    123,593.50/185,324.64 = 56,999.35/x
  3. Step 3: Cross multiply
    123,593.50x = 185,324.64 × 56,999.35
  4. Step 4: Simplify right side
    123,593.50x = 10,563,384,018.98
  5. Step 5: Solve for x
    x = 10,563,384,018.98/123,593.50
  6. Step 6: Final answer
    x = 85,468.77

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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.