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Finding the Fourth Proportional to 238,980.94, 329,609.49 and 148,390.54

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Solution

The fourth proportional to 238,980.94, 329,609.49 and 148,390.54 is: 204,664.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,980.94 : 329,609.49 = 148,390.54 : x
  2. Step 2: Convert to fraction form
    238,980.94/329,609.49 = 148,390.54/x
  3. Step 3: Cross multiply
    238,980.94x = 329,609.49 × 148,390.54
  4. Step 4: Simplify right side
    238,980.94x = 48,910,930,210.22
  5. Step 5: Solve for x
    x = 48,910,930,210.22/238,980.94
  6. Step 6: Final answer
    x = 204,664.57

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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.