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Finding the Fourth Proportional to 211,084.40, 315,935.40 and 164,082.80

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Solution

The fourth proportional to 211,084.40, 315,935.40 and 164,082.80 is: 245,586.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,084.40 : 315,935.40 = 164,082.80 : x
  2. Step 2: Convert to fraction form
    211,084.40/315,935.40 = 164,082.80/x
  3. Step 3: Cross multiply
    211,084.40x = 315,935.40 × 164,082.80
  4. Step 4: Simplify right side
    211,084.40x = 51,839,565,051.12
  5. Step 5: Solve for x
    x = 51,839,565,051.12/211,084.40
  6. Step 6: Final answer
    x = 245,586.91

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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.