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Finding the Fourth Proportional to 173,322, 259,978.68 and 55,000.08

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Solution

The fourth proportional to 173,322, 259,978.68 and 55,000.08 is: 82,498.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,322 : 259,978.68 = 55,000.08 : x
  2. Step 2: Convert to fraction form
    173,322/259,978.68 = 55,000.08/x
  3. Step 3: Cross multiply
    173,322x = 259,978.68 × 55,000.08
  4. Step 4: Simplify right side
    173,322x = 14,298,848,198.29
  5. Step 5: Solve for x
    x = 14,298,848,198.29/173,322
  6. Step 6: Final answer
    x = 82,498.75

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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.