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Finding the Fourth Proportional to 114,512.40, 171,768.60 and 52,304.40

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Solution

The fourth proportional to 114,512.40, 171,768.60 and 52,304.40 is: 78,456.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,512.40 : 171,768.60 = 52,304.40 : x
  2. Step 2: Convert to fraction form
    114,512.40/171,768.60 = 52,304.40/x
  3. Step 3: Cross multiply
    114,512.40x = 171,768.60 × 52,304.40
  4. Step 4: Simplify right side
    114,512.40x = 8,984,253,561.84
  5. Step 5: Solve for x
    x = 8,984,253,561.84/114,512.40
  6. Step 6: Final answer
    x = 78,456.60

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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.