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Finding the Fourth Proportional to 262,338.64, 393,274.20 and 96,087.76

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Solution

The fourth proportional to 262,338.64, 393,274.20 and 96,087.76 is: 144,046.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,338.64 : 393,274.20 = 96,087.76 : x
  2. Step 2: Convert to fraction form
    262,338.64/393,274.20 = 96,087.76/x
  3. Step 3: Cross multiply
    262,338.64x = 393,274.20 × 96,087.76
  4. Step 4: Simplify right side
    262,338.64x = 37,788,836,943.79
  5. Step 5: Solve for x
    x = 37,788,836,943.79/262,338.64
  6. Step 6: Final answer
    x = 144,046.02

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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.