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Finding the Fourth Proportional to 173,109.20, 259,663.80 and 54,789.80

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Solution

The fourth proportional to 173,109.20, 259,663.80 and 54,789.80 is: 82,184.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,109.20 : 259,663.80 = 54,789.80 : x
  2. Step 2: Convert to fraction form
    173,109.20/259,663.80 = 54,789.80/x
  3. Step 3: Cross multiply
    173,109.20x = 259,663.80 × 54,789.80
  4. Step 4: Simplify right side
    173,109.20x = 14,226,927,669.24
  5. Step 5: Solve for x
    x = 14,226,927,669.24/173,109.20
  6. Step 6: Final answer
    x = 82,184.70

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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.