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Finding the Fourth Proportional to 193,716.48, 290,574.29 and 51,561.78

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Solution

The fourth proportional to 193,716.48, 290,574.29 and 51,561.78 is: 77,342.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,716.48 : 290,574.29 = 51,561.78 : x
  2. Step 2: Convert to fraction form
    193,716.48/290,574.29 = 51,561.78/x
  3. Step 3: Cross multiply
    193,716.48x = 290,574.29 × 51,561.78
  4. Step 4: Simplify right side
    193,716.48x = 14,982,527,356.83
  5. Step 5: Solve for x
    x = 14,982,527,356.83/193,716.48
  6. Step 6: Final answer
    x = 77,342.55

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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.