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Finding the Fourth Proportional to 114,334.17, 171,559.81 and 54,430.42

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Solution

The fourth proportional to 114,334.17, 171,559.81 and 54,430.42 is: 81,673.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,334.17 : 171,559.81 = 54,430.42 : x
  2. Step 2: Convert to fraction form
    114,334.17/171,559.81 = 54,430.42/x
  3. Step 3: Cross multiply
    114,334.17x = 171,559.81 × 54,430.42
  4. Step 4: Simplify right side
    114,334.17x = 9,338,072,241.27
  5. Step 5: Solve for x
    x = 9,338,072,241.27/114,334.17
  6. Step 6: Final answer
    x = 81,673.50

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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.