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Finding the Fourth Proportional to 192,046.40, 288,069.60 and 51,819.20

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Solution

The fourth proportional to 192,046.40, 288,069.60 and 51,819.20 is: 77,728.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,046.40 : 288,069.60 = 51,819.20 : x
  2. Step 2: Convert to fraction form
    192,046.40/288,069.60 = 51,819.20/x
  3. Step 3: Cross multiply
    192,046.40x = 288,069.60 × 51,819.20
  4. Step 4: Simplify right side
    192,046.40x = 14,927,536,216.32
  5. Step 5: Solve for x
    x = 14,927,536,216.32/192,046.40
  6. Step 6: Final answer
    x = 77,728.80

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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.