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Finding the Fourth Proportional to 224,480.57, 309,685.41 and 147,901.41

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Solution

The fourth proportional to 224,480.57, 309,685.41 and 147,901.41 is: 204,039.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,480.57 : 309,685.41 = 147,901.41 : x
  2. Step 2: Convert to fraction form
    224,480.57/309,685.41 = 147,901.41/x
  3. Step 3: Cross multiply
    224,480.57x = 309,685.41 × 147,901.41
  4. Step 4: Simplify right side
    224,480.57x = 45,802,908,795.43
  5. Step 5: Solve for x
    x = 45,802,908,795.43/224,480.57
  6. Step 6: Final answer
    x = 204,039.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.