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Finding the Fourth Proportional to 250,729.71, 375,830.33 and 82,206.06

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Solution

The fourth proportional to 250,729.71, 375,830.33 and 82,206.06 is: 123,222.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,729.71 : 375,830.33 = 82,206.06 : x
  2. Step 2: Convert to fraction form
    250,729.71/375,830.33 = 82,206.06/x
  3. Step 3: Cross multiply
    250,729.71x = 375,830.33 × 82,206.06
  4. Step 4: Simplify right side
    250,729.71x = 30,895,530,246.77
  5. Step 5: Solve for x
    x = 30,895,530,246.77/250,729.71
  6. Step 6: Final answer
    x = 123,222.45

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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.