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Finding the Fourth Proportional to 269,765.83, 372,274.75 and 148,907.15

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Solution

The fourth proportional to 269,765.83, 372,274.75 and 148,907.15 is: 205,490.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,765.83 : 372,274.75 = 148,907.15 : x
  2. Step 2: Convert to fraction form
    269,765.83/372,274.75 = 148,907.15/x
  3. Step 3: Cross multiply
    269,765.83x = 372,274.75 × 148,907.15
  4. Step 4: Simplify right side
    269,765.83x = 55,434,372,039.46
  5. Step 5: Solve for x
    x = 55,434,372,039.46/269,765.83
  6. Step 6: Final answer
    x = 205,490.71

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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.