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Finding the Fourth Proportional to 193,856.49, 290,728.58 and 75,501.45

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Solution

The fourth proportional to 193,856.49, 290,728.58 and 75,501.45 is: 113,230.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,856.49 : 290,728.58 = 75,501.45 : x
  2. Step 2: Convert to fraction form
    193,856.49/290,728.58 = 75,501.45/x
  3. Step 3: Cross multiply
    193,856.49x = 290,728.58 × 75,501.45
  4. Step 4: Simplify right side
    193,856.49x = 21,950,428,968.93
  5. Step 5: Solve for x
    x = 21,950,428,968.93/193,856.49
  6. Step 6: Final answer
    x = 113,230.30

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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.