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Finding the Fourth Proportional to 200,529.30, 300,782.88 and 67,395.81

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Solution

The fourth proportional to 200,529.30, 300,782.88 and 67,395.81 is: 101,089.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,529.30 : 300,782.88 = 67,395.81 : x
  2. Step 2: Convert to fraction form
    200,529.30/300,782.88 = 67,395.81/x
  3. Step 3: Cross multiply
    200,529.30x = 300,782.88 × 67,395.81
  4. Step 4: Simplify right side
    200,529.30x = 20,271,505,831.73
  5. Step 5: Solve for x
    x = 20,271,505,831.73/200,529.30
  6. Step 6: Final answer
    x = 101,089.99

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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.