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Finding the Fourth Proportional to 255,751.82, 352,939.02 and 148,385.78

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Solution

The fourth proportional to 255,751.82, 352,939.02 and 148,385.78 is: 204,773.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,751.82 : 352,939.02 = 148,385.78 : x
  2. Step 2: Convert to fraction form
    255,751.82/352,939.02 = 148,385.78/x
  3. Step 3: Cross multiply
    255,751.82x = 352,939.02 × 148,385.78
  4. Step 4: Simplify right side
    255,751.82x = 52,371,131,775.14
  5. Step 5: Solve for x
    x = 52,371,131,775.14/255,751.82
  6. Step 6: Final answer
    x = 204,773.25

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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.