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Finding the Fourth Proportional to 192,264.39, 288,395.67 and 106,835.01

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Solution

The fourth proportional to 192,264.39, 288,395.67 and 106,835.01 is: 160,252.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,264.39 : 288,395.67 = 106,835.01 : x
  2. Step 2: Convert to fraction form
    192,264.39/288,395.67 = 106,835.01/x
  3. Step 3: Cross multiply
    192,264.39x = 288,395.67 × 106,835.01
  4. Step 4: Simplify right side
    192,264.39x = 30,810,754,288.41
  5. Step 5: Solve for x
    x = 30,810,754,288.41/192,264.39
  6. Step 6: Final answer
    x = 160,252.01

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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.