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Finding the Fourth Proportional to 183,002.64, 274,392.70 and 76,257.60

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Solution

The fourth proportional to 183,002.64, 274,392.70 and 76,257.60 is: 114,340.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,002.64 : 274,392.70 = 76,257.60 : x
  2. Step 2: Convert to fraction form
    183,002.64/274,392.70 = 76,257.60/x
  3. Step 3: Cross multiply
    183,002.64x = 274,392.70 × 76,257.60
  4. Step 4: Simplify right side
    183,002.64x = 20,924,528,759.52
  5. Step 5: Solve for x
    x = 20,924,528,759.52/183,002.64
  6. Step 6: Final answer
    x = 114,340.04

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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.