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Finding the Fourth Proportional to 193,338.30, 290,113.16 and 75,014.31

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Solution

The fourth proportional to 193,338.30, 290,113.16 and 75,014.31 is: 112,562.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,338.30 : 290,113.16 = 75,014.31 : x
  2. Step 2: Convert to fraction form
    193,338.30/290,113.16 = 75,014.31/x
  3. Step 3: Cross multiply
    193,338.30x = 290,113.16 × 75,014.31
  4. Step 4: Simplify right side
    193,338.30x = 21,762,638,144.25
  5. Step 5: Solve for x
    x = 21,762,638,144.25/193,338.30
  6. Step 6: Final answer
    x = 112,562.48

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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.