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Finding the Fourth Proportional to 193,752.08, 290,455.92 and 75,395.76

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Solution

The fourth proportional to 193,752.08, 290,455.92 and 75,395.76 is: 113,026.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,752.08 : 290,455.92 = 75,395.76 : x
  2. Step 2: Convert to fraction form
    193,752.08/290,455.92 = 75,395.76/x
  3. Step 3: Cross multiply
    193,752.08x = 290,455.92 × 75,395.76
  4. Step 4: Simplify right side
    193,752.08x = 21,899,144,834.90
  5. Step 5: Solve for x
    x = 21,899,144,834.90/193,752.08
  6. Step 6: Final answer
    x = 113,026.63

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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.