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Finding the Fourth Proportional to 211,082.40, 315,932.40 and 164,080.80

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Solution

The fourth proportional to 211,082.40, 315,932.40 and 164,080.80 is: 245,583.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,082.40 : 315,932.40 = 164,080.80 : x
  2. Step 2: Convert to fraction form
    211,082.40/315,932.40 = 164,080.80/x
  3. Step 3: Cross multiply
    211,082.40x = 315,932.40 × 164,080.80
  4. Step 4: Simplify right side
    211,082.40x = 51,838,440,937.92
  5. Step 5: Solve for x
    x = 51,838,440,937.92/211,082.40
  6. Step 6: Final answer
    x = 245,583.91

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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.