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Finding the Fourth Proportional to 307,002.87, 460,553.58 and 129,536.01

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Solution

The fourth proportional to 307,002.87, 460,553.58 and 129,536.01 is: 194,324.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,002.87 : 460,553.58 = 129,536.01 : x
  2. Step 2: Convert to fraction form
    307,002.87/460,553.58 = 129,536.01/x
  3. Step 3: Cross multiply
    307,002.87x = 460,553.58 × 129,536.01
  4. Step 4: Simplify right side
    307,002.87x = 59,658,273,144.42
  5. Step 5: Solve for x
    x = 59,658,273,144.42/307,002.87
  6. Step 6: Final answer
    x = 194,324.81

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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.