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Finding the Fourth Proportional to 262,794.84, 362,657.25 and 149,617.50

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Solution

The fourth proportional to 262,794.84, 362,657.25 and 149,617.50 is: 206,472.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,794.84 : 362,657.25 = 149,617.50 : x
  2. Step 2: Convert to fraction form
    262,794.84/362,657.25 = 149,617.50/x
  3. Step 3: Cross multiply
    262,794.84x = 362,657.25 × 149,617.50
  4. Step 4: Simplify right side
    262,794.84x = 54,259,871,101.88
  5. Step 5: Solve for x
    x = 54,259,871,101.88/262,794.84
  6. Step 6: Final answer
    x = 206,472.36

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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.