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Finding the Fourth Proportional to 114,523.20, 171,914.40 and 67,802.40

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Solution

The fourth proportional to 114,523.20, 171,914.40 and 67,802.40 is: 101,780.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,523.20 : 171,914.40 = 67,802.40 : x
  2. Step 2: Convert to fraction form
    114,523.20/171,914.40 = 67,802.40/x
  3. Step 3: Cross multiply
    114,523.20x = 171,914.40 × 67,802.40
  4. Step 4: Simplify right side
    114,523.20x = 11,656,208,914.56
  5. Step 5: Solve for x
    x = 11,656,208,914.56/114,523.20
  6. Step 6: Final answer
    x = 101,780.33

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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.