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Finding the Fourth Proportional to 307,101.20, 460,943.40 and 189,003.20

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Solution

The fourth proportional to 307,101.20, 460,943.40 and 189,003.20 is: 283,684.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,101.20 : 460,943.40 = 189,003.20 : x
  2. Step 2: Convert to fraction form
    307,101.20/460,943.40 = 189,003.20/x
  3. Step 3: Cross multiply
    307,101.20x = 460,943.40 × 189,003.20
  4. Step 4: Simplify right side
    307,101.20x = 87,119,777,618.88
  5. Step 5: Solve for x
    x = 87,119,777,618.88/307,101.20
  6. Step 6: Final answer
    x = 283,684.26

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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.