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Finding the Fourth Proportional to 193,527.77, 290,309.97 and 75,208.23

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Solution

The fourth proportional to 193,527.77, 290,309.97 and 75,208.23 is: 112,819.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,527.77 : 290,309.97 = 75,208.23 : x
  2. Step 2: Convert to fraction form
    193,527.77/290,309.97 = 75,208.23/x
  3. Step 3: Cross multiply
    193,527.77x = 290,309.97 × 75,208.23
  4. Step 4: Simplify right side
    193,527.77x = 21,833,698,995.05
  5. Step 5: Solve for x
    x = 21,833,698,995.05/193,527.77
  6. Step 6: Final answer
    x = 112,819.46

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1.5x scale

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.