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Finding the Fourth Proportional to 114,527.71, 171,791.56 and 67,214.80

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Solution

The fourth proportional to 114,527.71, 171,791.56 and 67,214.80 is: 100,822.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,527.71 : 171,791.56 = 67,214.80 : x
  2. Step 2: Convert to fraction form
    114,527.71/171,791.56 = 67,214.80/x
  3. Step 3: Cross multiply
    114,527.71x = 171,791.56 × 67,214.80
  4. Step 4: Simplify right side
    114,527.71x = 11,546,935,347.09
  5. Step 5: Solve for x
    x = 11,546,935,347.09/114,527.71
  6. Step 6: Final answer
    x = 100,822.20

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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.