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Finding the Fourth Proportional to 164,903.49, 227,572.41 and 96,919.49

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Solution

The fourth proportional to 164,903.49, 227,572.41 and 96,919.49 is: 133,752.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,903.49 : 227,572.41 = 96,919.49 : x
  2. Step 2: Convert to fraction form
    164,903.49/227,572.41 = 96,919.49/x
  3. Step 3: Cross multiply
    164,903.49x = 227,572.41 × 96,919.49
  4. Step 4: Simplify right side
    164,903.49x = 22,056,200,777.41
  5. Step 5: Solve for x
    x = 22,056,200,777.41/164,903.49
  6. Step 6: Final answer
    x = 133,752.18

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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.