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Finding the Fourth Proportional to 182,851.20, 274,276.80 and 89,539.20

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Solution

The fourth proportional to 182,851.20, 274,276.80 and 89,539.20 is: 134,308.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,851.20 : 274,276.80 = 89,539.20 : x
  2. Step 2: Convert to fraction form
    182,851.20/274,276.80 = 89,539.20/x
  3. Step 3: Cross multiply
    182,851.20x = 274,276.80 × 89,539.20
  4. Step 4: Simplify right side
    182,851.20x = 24,558,525,250.56
  5. Step 5: Solve for x
    x = 24,558,525,250.56/182,851.20
  6. Step 6: Final answer
    x = 134,308.80

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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.