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Finding the Fourth Proportional to 269,082.60, 402,846.30 and 164,106.60

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Solution

The fourth proportional to 269,082.60, 402,846.30 and 164,106.60 is: 245,685.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,082.60 : 402,846.30 = 164,106.60 : x
  2. Step 2: Convert to fraction form
    269,082.60/402,846.30 = 164,106.60/x
  3. Step 3: Cross multiply
    269,082.60x = 402,846.30 × 164,106.60
  4. Step 4: Simplify right side
    269,082.60x = 66,109,736,615.58
  5. Step 5: Solve for x
    x = 66,109,736,615.58/269,082.60
  6. Step 6: Final answer
    x = 245,685.66

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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.