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Finding the Fourth Proportional to 307,204.20, 460,871.10 and 129,619.80

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Solution

The fourth proportional to 307,204.20, 460,871.10 and 129,619.80 is: 194,457.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,204.20 : 460,871.10 = 129,619.80 : x
  2. Step 2: Convert to fraction form
    307,204.20/460,871.10 = 129,619.80/x
  3. Step 3: Cross multiply
    307,204.20x = 460,871.10 × 129,619.80
  4. Step 4: Simplify right side
    307,204.20x = 59,738,019,807.78
  5. Step 5: Solve for x
    x = 59,738,019,807.78/307,204.20
  6. Step 6: Final answer
    x = 194,457.04

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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.