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Finding the Fourth Proportional to 173,738.08, 260,662.50 and 77,660.48

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Solution

The fourth proportional to 173,738.08, 260,662.50 and 77,660.48 is: 116,515.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,738.08 : 260,662.50 = 77,660.48 : x
  2. Step 2: Convert to fraction form
    173,738.08/260,662.50 = 77,660.48/x
  3. Step 3: Cross multiply
    173,738.08x = 260,662.50 × 77,660.48
  4. Step 4: Simplify right side
    173,738.08x = 20,243,174,868
  5. Step 5: Solve for x
    x = 20,243,174,868/173,738.08
  6. Step 6: Final answer
    x = 116,515.47

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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.