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Finding the Fourth Proportional to 193,483.87, 290,113.71 and 75,016.51

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Solution

The fourth proportional to 193,483.87, 290,113.71 and 75,016.51 is: 112,481.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,483.87 : 290,113.71 = 75,016.51 : x
  2. Step 2: Convert to fraction form
    193,483.87/290,113.71 = 75,016.51/x
  3. Step 3: Cross multiply
    193,483.87x = 290,113.71 × 75,016.51
  4. Step 4: Simplify right side
    193,483.87x = 21,763,318,027.35
  5. Step 5: Solve for x
    x = 21,763,318,027.35/193,483.87
  6. Step 6: Final answer
    x = 112,481.30

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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.