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Finding the Fourth Proportional to 193,856.01, 290,664.91 and 75,389.23

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Solution

The fourth proportional to 193,856.01, 290,664.91 and 75,389.23 is: 113,037.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,856.01 : 290,664.91 = 75,389.23 : x
  2. Step 2: Convert to fraction form
    193,856.01/290,664.91 = 75,389.23/x
  3. Step 3: Cross multiply
    193,856.01x = 290,664.91 × 75,389.23
  4. Step 4: Simplify right side
    193,856.01x = 21,913,003,752.92
  5. Step 5: Solve for x
    x = 21,913,003,752.92/193,856.01
  6. Step 6: Final answer
    x = 113,037.53

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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.