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Finding the Fourth Proportional to 173,206.50, 259,817.31 and 54,886.56

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Solution

The fourth proportional to 173,206.50, 259,817.31 and 54,886.56 is: 82,332.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,206.50 : 259,817.31 = 54,886.56 : x
  2. Step 2: Convert to fraction form
    173,206.50/259,817.31 = 54,886.56/x
  3. Step 3: Cross multiply
    173,206.50x = 259,817.31 × 54,886.56
  4. Step 4: Simplify right side
    173,206.50x = 14,260,478,374.35
  5. Step 5: Solve for x
    x = 14,260,478,374.35/173,206.50
  6. Step 6: Final answer
    x = 82,332.24

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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.