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Finding the Fourth Proportional to 273,167.80, 409,751.70 and 210,109.30

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Solution

The fourth proportional to 273,167.80, 409,751.70 and 210,109.30 is: 315,163.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,167.80 : 409,751.70 = 210,109.30 : x
  2. Step 2: Convert to fraction form
    273,167.80/409,751.70 = 210,109.30/x
  3. Step 3: Cross multiply
    273,167.80x = 409,751.70 × 210,109.30
  4. Step 4: Simplify right side
    273,167.80x = 86,092,642,860.81
  5. Step 5: Solve for x
    x = 86,092,642,860.81/273,167.80
  6. Step 6: Final answer
    x = 315,163.95

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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.