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Finding the Fourth Proportional to 109,958.68, 164,938.02 and 63,181.72

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Solution

The fourth proportional to 109,958.68, 164,938.02 and 63,181.72 is: 94,772.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,958.68 : 164,938.02 = 63,181.72 : x
  2. Step 2: Convert to fraction form
    109,958.68/164,938.02 = 63,181.72/x
  3. Step 3: Cross multiply
    109,958.68x = 164,938.02 × 63,181.72
  4. Step 4: Simplify right side
    109,958.68x = 10,421,067,796.99
  5. Step 5: Solve for x
    x = 10,421,067,796.99/109,958.68
  6. Step 6: Final answer
    x = 94,772.58

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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.