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Finding the Fourth Proportional to 303,193.80, 454,812.30 and 92,831.40

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Solution

The fourth proportional to 303,193.80, 454,812.30 and 92,831.40 is: 139,253.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,193.80 : 454,812.30 = 92,831.40 : x
  2. Step 2: Convert to fraction form
    303,193.80/454,812.30 = 92,831.40/x
  3. Step 3: Cross multiply
    303,193.80x = 454,812.30 × 92,831.40
  4. Step 4: Simplify right side
    303,193.80x = 42,220,862,546.22
  5. Step 5: Solve for x
    x = 42,220,862,546.22/303,193.80
  6. Step 6: Final answer
    x = 139,253.71

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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.