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Finding the Fourth Proportional to 202,917.60, 304,376.40 and 192,031.20

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Solution

The fourth proportional to 202,917.60, 304,376.40 and 192,031.20 is: 288,046.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,917.60 : 304,376.40 = 192,031.20 : x
  2. Step 2: Convert to fraction form
    202,917.60/304,376.40 = 192,031.20/x
  3. Step 3: Cross multiply
    202,917.60x = 304,376.40 × 192,031.20
  4. Step 4: Simplify right side
    202,917.60x = 58,449,765,343.68
  5. Step 5: Solve for x
    x = 58,449,765,343.68/202,917.60
  6. Step 6: Final answer
    x = 288,046.80

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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.